Please show all work!! Thanks!! A Solenoid is used as an inductor with these pro

Question

Please show all work!! Thanks!!

A Solenoid is used as an inductor with these properties: radius = 1.5 cm L length = 20.0 cm inductance = 3.2 mH = 0.0032 H negligible internal resistance Resistor R = 20 Ohm. The Function Generator (EMF source) delivers a sinusoidal signal of amplitude 2.0 V at frequency 2000 Hz, and its internal resistance is negligible. Draw a carefully-labeled phasor diagram showing the voltages tor the resistor. Solenoid, and Function Generator, and the electric current i(t): What is the amplitude of the voltage oscillations across the resistor R? How many coils (turns of wire) are in this Solenoid? For simplicity, treat the Solenoid as very long and ideal. Now a capacitor C is added into the circuit as shown. What should be the capacitance C in order for the amplitude of the voltage oscillations across the capacitor to be as large as possible? What is the rms value and the amplitude of the electric current oscillations through the resistor?

Explanation / Answer

a)

from: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/phase.html

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