16.1. The Big Idea http://www.ck12.org
MEDIA
Click image to the left for more content.Key Equations
E=−∆L∆tI Emf across an inductor with inductance L
L=μ^0 N(^2) A
I Inductance of a solenoid with Nturns,area A, Henrys (H)
XL= 2 πf C Inductive reactance for AC of frequency f
XC=X^1 L Capacitive reactance for AC of frequency f
Z=
√
R^2 +(XL−XC)^2 Impedance of an RC circuit (Pythagorean Theorem)
tanφ=XL−RXC Phase angle between peak current and voltageAdvanced Topics Problem Set
- You purchase a circular solenoid with 100 turns, a radius of 0.5 cm, and a length of 2.0 cm.
a. Calculate the inductance of your solenoid in Henrys.
b. A current of 0.5 A is passing through your solenoid. The current is turned down to zero over the course
of 0.25 seconds. What voltage is induced in the solenoid?- What is the voltage drop across an inductor if the current passing through it is not changing with time? Does
your answer depend on the physical makeup of the inductor? Explain.