# Hint first find the self inductance correct answer 1

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(Hint: First find the self-inductance.)
The energy stored in a solenoid is given by E = 1 2 L I 2 , where L is the inductance of the solenoid.
At what frequency does the light bulb glow most brightly?
gilbert (amg3448) – HW07 – tsoi – (57210) 8 2. the frequency ω = 1 LC 3. both very low frequencies or very high frequencies correct di ff erence output of 106 V. Find the rms potential di ff erence output. 5. very low frequencies An AC generator has a maximum potential di ff erence output of 106 V. Find the rms potential di ff erence output.
The rms voltage is Find the rms current in the circuit when the generator is connected to a 53 Ω resistor.
Determine the magnitude of the current in the capacitor at t = 0 . 00895 s, assuming that
at t = 0, the energy stored in the capacitor is zero.
020 (part 1 of 2) 10.0 points Explanation:
gilbert (amg3448) – HW07 – tsoi – (57210) 9 Let : V rms = 69 . 4 V , C = 1 . 5 mF = 0 . 0015 F , f = 20 Hz , and t = 0 . 00895 s . The capacitive reactance is X C = 1 ω C = 1 2 π f C . The maximum current is I max = V max X C = 2 V rms X C = 2 (2 π f C ) V rms . Because the current leads the voltage across a capacitor by 90 , at time t , I = I max sin ( ω t + 90 ) = 2 2 π f C V rms sin (2 π f t + 90 ) = 2 2 π (20 Hz) (0 . 0015 F) (69 . 4 V) × sin [2 π (20 Hz)(0 . 00895 s) + 90 ] = 7 . 98201 A , so | I | = 7 . 98201 A . keywords: 023 10.0 points An inductor has a 68 . 4 Ω reactance at 57 . 8 Hz. What will be the peak current if this in- ductor is connected to a 26 Hz source that produces a 159 V rms voltage?