A Solenoid is used as an inductor with these properties: radius = 1.5 cm L lengt

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

ID: 2104273 • Letter: A

Question

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 ?. The Function

Generator (EMF source) delivers a

sinusoidal signal of amplitude 2.0 V

at frequency 2000 Hz, and its

internal resistance is negligible.

a. Draw a carefully-labeled phasor diagram showing the voltages for the resistor,

Solenoid, and Function Generator, and the electric current i(t):

b. What is the amplitude of the voltage oscillations across the resistor R?

c. 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. In series

d. What should be the capacitance C

in order for the amplitude of the

voltage oscillations across the

capacitor to be as large as

possible?

e. What is the rms value and the amplitude of the electric current oscillations through

the resistor?

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