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Solution for Multiple-Choice Homework 15 Adding Magnetic Fields and
Ampere’s Law
Solution to Multiple-Choice Homework Problem 15.1(State Ampere’s Law)
Problem: Select the statement of Ampere’s law.
Select One of the Following:
(a) The integral of the electric field around a closed path is proportional to the charge enclosed.
(b) The integral of the electric field over a closed surface is proportional to the charge enclosed.
(c-Answer) The integral of the magnetic field around a closed path is proportional to the current encircled.
(d) The integral of the electric field around a closed path is zero.
(e) The integral of the magnetic field around a closed path is zero.
Solution
Ampere’s law states that the integral of the magnetic field around a closed path is proportional to the current
passing through the path. Symbolically, this is stated as
I
B~ · d
~l = µ0IC ,
where B~ is the magnetic field; d
~l is an element of the path over which the integral is taken and points along the
path; and IC is the current passing through the surface bounded by the path C.
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