A circular loop is conducting current in a counter-clockwise direction as shown.

Question

A circular loop is conducting current in a counter-clockwise direction as shown. A number of changes to this initial situation are described in a-e below. In each case, describe how the proposed changes will affect the magnitude and direction of the magnetic field at the center of the loop and explain your reasoning. Each change below refers to the initial situation described above. The current in the loop is increased. The direction of the current in the loop is reversed. The current in the loop is reduced and its direction reversed. The radius of the loop is increased. The radius of the loop is decreased and the current is increased. The loop is replaced by a coil with several turns with the same radius and current.

Explanation / Answer

magenetic field, B at center = mu0 *N*I / (2*R) given by right hand rule

N- no. of turns

I - current

R- radius of loop

a. magnetic field will increase ( as directly proportional to I )

b. field direction will be reversed (inward)

c. B will reduce and act into the plane

d. B will reduce (as inversely proportional to R)

e. B will increase ( as directly proprtional to I/R )

f. B will increase ( as directly proportional to N )

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