Question

Determine the voltage across a 2 μF capacitor after 1 ms if the current through it is: i(t) = 6e^(-3000t) mA. Assume the initial capacitor voltage is zero. The given answer is V = 0.950 volts.

Name: determine the voltage across a 2 uf capacitor after 1ms if the current through it is it 6e 3000t ma assume the initial capacitor voltage is zero given answer is v950 volts 38405
Uploaded: 2023-06-26T23:40:13-08:00
Duration: 3 min 16 s
Channel: Madhur L
Description: determine the voltage across a 2 uf capacitor after 1ms if the current through it is it 6e 3000t ma assume the initial capacitor voltage is zero given answer is v950 volts 38405

          Determine the voltage across a 2 μF capacitor after 1 ms if the current through it is: i(t) = 6e^(-3000t) mA. Assume the initial capacitor voltage is zero. The given answer is V = 0.950 volts.

Added by Jordan T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

06/26/2023

Step 1

The current through a capacitor is given by: \[ i(t) = C \frac{dV(t)}{dt} \] where \( C \) is the capacitance, \( i(t) \) is the current, and \( V(t) \) is the voltage across the capacitor. Given: - Capacitance, \( C = 2 \, \mu\text{F} = 2 \times 10^{-6} \, Show more…

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Determine the voltage across a 2 μF capacitor after 1 ms if the current through it is: i(t) = 6e^(-3000t) mA. Assume the initial capacitor voltage is zero. The given answer is V = 0.950 volts.