Ohm's law:

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{i}}{\mathbf{R}}}$

Current through a capacitor:

$\overline{){\mathbf{i}}{\mathbf{=}}{\mathbf{C}}\frac{\mathbf{d}\mathbf{V}}{\mathbf{d}\mathbf{t}}}$

i = C(d/dt)V_{C0}sinωt = CωV_{C0}sinωt

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 V_{C}(t) = V_{C0}sinωt. If R = 3kΩ, C = 100 pF, V_{C0} = 100 mV, and ω = 105rad/s, what is V_{R}?

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