Compound Direct Current Circuits - AP Physics C: Electricity and Magnetism
Card 1 of 30
Find the total capacitance of three 3 F capacitors in series.
Find the total capacitance of three 3 F capacitors in series.
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1 F. Three equal capacitors in series: $\frac{3}{3} = 1$ F.
1 F. Three equal capacitors in series: $\frac{3}{3} = 1$ F.
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What is the formula for power in a circuit?
What is the formula for power in a circuit?
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$P = IV$. Power equals current times voltage.
$P = IV$. Power equals current times voltage.
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Identify the unit of electric potential.
Identify the unit of electric potential.
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Volt ($\text{V}$). Standard unit for electrical potential difference.
Volt ($\text{V}$). Standard unit for electrical potential difference.
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What is the formula for resistors with equal resistance in parallel?
What is the formula for resistors with equal resistance in parallel?
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$R_{\text{total}} = \frac{R}{n}$. For $n$ equal resistors, total resistance is $\frac{R}{n}$.
$R_{\text{total}} = \frac{R}{n}$. For $n$ equal resistors, total resistance is $\frac{R}{n}$.
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Identify the unit of resistance.
Identify the unit of resistance.
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Ohm ($\text{Ω}$). Standard unit for electrical resistance.
Ohm ($\text{Ω}$). Standard unit for electrical resistance.
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What is the formula for current in a resistor using Ohm's Law?
What is the formula for current in a resistor using Ohm's Law?
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$I = \frac{V}{R}$. Rearranged form of Ohm's Law solving for current.
$I = \frac{V}{R}$. Rearranged form of Ohm's Law solving for current.
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What is the formula for energy stored in a capacitor?
What is the formula for energy stored in a capacitor?
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$E = \frac{1}{2} C V^2$. Energy stored is proportional to capacitance and voltage squared.
$E = \frac{1}{2} C V^2$. Energy stored is proportional to capacitance and voltage squared.
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Determine the current if 200 W is used by a 50 V device.
Determine the current if 200 W is used by a 50 V device.
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4 A. Using $I = \frac{P}{V}$: $\frac{200}{50} = 4$ A.
4 A. Using $I = \frac{P}{V}$: $\frac{200}{50} = 4$ A.
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Calculate the voltage drop across a 4 Ω resistor with 2 A current.
Calculate the voltage drop across a 4 Ω resistor with 2 A current.
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8 V. Using Ohm's Law: $V = 2 \times 4 = 8$ V.
8 V. Using Ohm's Law: $V = 2 \times 4 = 8$ V.
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What is the energy dissipation formula in a resistor?
What is the energy dissipation formula in a resistor?
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$P = I^2R$. Power dissipated in resistor using current squared.
$P = I^2R$. Power dissipated in resistor using current squared.
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What is the formula for current using power and voltage?
What is the formula for current using power and voltage?
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$I = \frac{P}{V}$. Rearranged power formula solving for current.
$I = \frac{P}{V}$. Rearranged power formula solving for current.
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Determine the voltage across a 6 Ω resistor with 3 A current.
Determine the voltage across a 6 Ω resistor with 3 A current.
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18 V. Using Ohm's Law: $V = 3 \times 6 = 18$ V.
18 V. Using Ohm's Law: $V = 3 \times 6 = 18$ V.
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What does a voltmeter measure in a circuit?
What does a voltmeter measure in a circuit?
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Voltage (potential difference). Voltmeter measures potential difference between two points.
Voltage (potential difference). Voltmeter measures potential difference between two points.
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Determine the current if 200 W is used by a 50 V device.
Determine the current if 200 W is used by a 50 V device.
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4 A. Using $I = \frac{P}{V}$: $\frac{200}{50} = 4$ A.
4 A. Using $I = \frac{P}{V}$: $\frac{200}{50} = 4$ A.
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Find the equivalent capacitance of two 4 F capacitors in series.
Find the equivalent capacitance of two 4 F capacitors in series.
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2 F. Series capacitors: $\frac{1}{C} = \frac{1}{4} + \frac{1}{4} = \frac{1}{2}$.
2 F. Series capacitors: $\frac{1}{C} = \frac{1}{4} + \frac{1}{4} = \frac{1}{2}$.
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Find the total resistance of a 5 Ω and 10 Ω resistor in series.
Find the total resistance of a 5 Ω and 10 Ω resistor in series.
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15 Ω. Series resistors add: $5 + 10 = 15$ Ω.
15 Ω. Series resistors add: $5 + 10 = 15$ Ω.
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Determine the total current if 2 A and 3 A enter a junction.
Determine the total current if 2 A and 3 A enter a junction.
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5 A. Junction rule: currents entering equal currents leaving.
5 A. Junction rule: currents entering equal currents leaving.
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What is the equivalent capacitance in series?
What is the equivalent capacitance in series?
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$\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \text{...} + \frac{1}{C_n}$. Capacitors in series behave like resistors in parallel.
$\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \text{...} + \frac{1}{C_n}$. Capacitors in series behave like resistors in parallel.
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Find the total resistance of three 6 Ω resistors in series.
Find the total resistance of three 6 Ω resistors in series.
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18 Ω. Series resistors add: $6 + 6 + 6 = 18$ Ω.
18 Ω. Series resistors add: $6 + 6 + 6 = 18$ Ω.
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What is the formula for terminal voltage of a battery?
What is the formula for terminal voltage of a battery?
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$V = \text{emf} - Ir$. Terminal voltage decreases due to internal resistance drop.
$V = \text{emf} - Ir$. Terminal voltage decreases due to internal resistance drop.
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Calculate the energy stored in a 2 F capacitor with 3 V across it.
Calculate the energy stored in a 2 F capacitor with 3 V across it.
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9 J. Using $E = \frac{1}{2}CV^2$: $\frac{1}{2} \times 2 \times 9 = 9$ J.
9 J. Using $E = \frac{1}{2}CV^2$: $\frac{1}{2} \times 2 \times 9 = 9$ J.
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Find the current in a 10 Ω resistor with 5 V across it.
Find the current in a 10 Ω resistor with 5 V across it.
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0.5 A. Using Ohm's Law: $I = \frac{5}{10} = 0.5$ A.
0.5 A. Using Ohm's Law: $I = \frac{5}{10} = 0.5$ A.
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Find the total resistance of a 5 Ω and 10 Ω resistor in parallel.
Find the total resistance of a 5 Ω and 10 Ω resistor in parallel.
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$\frac{10}{3}$ Ω. Parallel formula: $\frac{1}{R} = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}$.
$\frac{10}{3}$ Ω. Parallel formula: $\frac{1}{R} = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}$.
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Identify the unit of electric potential.
Identify the unit of electric potential.
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Volt ($\text{V}$). Standard unit for electrical potential difference.
Volt ($\text{V}$). Standard unit for electrical potential difference.
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What is the formula for the potential difference across a resistor?
What is the formula for the potential difference across a resistor?
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$V = IR$. Voltage drop across a resistor follows Ohm's Law.
$V = IR$. Voltage drop across a resistor follows Ohm's Law.
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What does an ammeter measure in a circuit?
What does an ammeter measure in a circuit?
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Current. Ammeter measures the flow of electric charge.
Current. Ammeter measures the flow of electric charge.
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State Ohm's Law.
State Ohm's Law.
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$V = IR$. Fundamental relationship between voltage, current, and resistance.
$V = IR$. Fundamental relationship between voltage, current, and resistance.
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What is the formula for total resistance in series circuits?
What is the formula for total resistance in series circuits?
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$R_{\text{total}} = R_1 + R_2 + \text{...} + R_n$. Resistors in series add their resistances directly.
$R_{\text{total}} = R_1 + R_2 + \text{...} + R_n$. Resistors in series add their resistances directly.
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Identify the unit of electric current.
Identify the unit of electric current.
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Ampere ($\text{A}$). Standard unit for rate of charge flow.
Ampere ($\text{A}$). Standard unit for rate of charge flow.
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Determine the power dissipated by a 5 Ω resistor with 2 A current.
Determine the power dissipated by a 5 Ω resistor with 2 A current.
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20 W. Using $P = I^2R$: $(2)^2 \times 5 = 20$ W.
20 W. Using $P = I^2R$: $(2)^2 \times 5 = 20$ W.
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