Problem: A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t) = VC0sinωt. If R = 3kΩ, C = 100 pF, VC0 = 100 mV, and ω = 105rad/s, what is VR?

FREE Expert Solution

Ohm's law:

V=iR

Current through a capacitor:

i=CdVdt

i = C(d/dt)VC0sinωt = CωVC0sinωt

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Problem Details

A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t) = VC0sinωt. If R = 3kΩ, C = 100 pF, VC0 = 100 mV, and ω = 105rad/s, what is VR?

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