Welcome to the Quiz!
This quiz contains 15 questions from a mix of 1 subtopics.
When charging a capacitor, what happens to the current flowing into it over time?
the current increases exponentially
the current remains constant
the current alternates between high and low values
the current decreases exponentially
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What does the time constant (τ) represent during the charging or discharging of a capacitor?
the time it takes for the capacitor to reach 100% of its maximum charge or voltage
the time it takes for the capacitor to reach 50% of its maximum charge or voltage
the time it takes for the capacitor to reach approximately 63% of its maximum charge or voltage
the time it takes for the capacitor to fully discharge
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How does increasing the resistance or capacitance in a circuit affect the time constant (τ)?
it causes the time constant to fluctuate between high and low values
it increases the time constant, slowing down the charging and discharging processes
it has no effect on the time constant
it decreases the time constant, speeding up the charging and discharging processes
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To discharge a capacitor, you should:
decrease the capacitance of the capacitor
increase the resistance in the circuit
disconnect it from the power supply and connect its terminals together
connect it to a higher voltage power supply
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What is the formula for calculating the time constant (τ)?
τ = R + C
τ = R - C
τ = R × C
τ = R ÷ C
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How long does it take for a capacitor to fully charge or discharge, in terms of the time constant (τ)?
τ
3τ
5τ
2τ
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What is the unit of measurement for the time constant (τ)?
seconds (s)
amperes (A)
ohms (Ω)
farads (F)
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Explain the significance of the time constant (τ) in charging and discharging capacitors.
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A 10μF capacitor is being charged through a 2 kΩ resistor from a 12 V DC supply. calculate the voltage across the capacitor after 0.05 seconds.
V
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A capacitor with a capacitance of 5 μF is fully charged to 10 V and then allowed to discharge through a 1 kΩ resistor. Calculate the voltage across the capacitor after 2 time constants during the discharge process.
V
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A 5 μF capacitor is charged through a 10 kΩ resistor using a 12 V DC power supply. What is the charge on the capacitor after 0.2 seconds?
6.0 × 10-5 C
5.9 × 10-5 C
5.5 × 10-5 C
6.4 × 10-5 C
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Calculate the time constant for a circuit consisting of a 2 μF capacitor and a 5 kΩ resistor.
0.01 s
10 s
1 s
0.1 s
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A capacitor with a capacitance of 470 μF is fully charged to 9 V. After being disconnected and left to discharge through a 1 kΩ resistor, what is the voltage across it after 1 second?
6.89 V
1.07 V
2.18 V
3.21 V
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What is the initial current (I0) through a capacitor being charged via a 12 V DC supply and 8 kΩ resistor, if the capacitor's capacitance is 4 μF?
0.001 A
0.0015 A
0.0005 A
0.002 A
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A 100 μF capacitor initially charged to 6 V begins to discharge through a 2 kΩ resistor. What will be the capacitor's charge after 2 seconds?
2.4 × 10-9 C
3.2 × 10-8 C
2.7 × 10-8 C
4.8 × 10-8 C
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