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Physics question! The Figure below shows a possible device for measuring magneti

ID: 1600951 • Letter: P

Question


Physics question!

The Figure below shows a possible device for measuring magnetic fields. A loop carrying a current I is dipped into a region of magnetic field the loop is suspended from a spring of constant k that stretches if the magnetic field points in the direction indicated Here the loop has width I = 1.50 cm, I = 1.20 mA. the spring stretches 4.00 mm, k = 4.00 x 10^4 N/m and the magnetic field is uniform. What is the magnitude of the field? Is the current direction clockwise? Recall that the spring force is given by Hooke's Law.

Explanation / Answer

using F = i L B

F = 1.2 X 10-3 X 0.015 X B

F = 0.018 X 10-3 X B N --- 1

the spring constant we have is

= 400 X 10-4 N/m

dx = 4 X 10-3

F = k.dx = 400 X 10-4 X 4 X 10-3

= 16 X 10-5 N ---- 2

now equating equation 1 and 2

0.018 X 10-3 X B = 16 X 10-5

B = 16 X 10-5 / 0.018 X 10-3

B = 8.88 T

the current direction is clockwise