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Consider the conducting loop with resistor R and R the current carrying wire sho

ID: 2203953 • Letter: C

Question


Consider the conducting loop with resistor R and R the current carrying wire shown in the figure to the right. If the current in the wire increases, is the induced current in the circuit clockwise, counterclockwise, or zero? Explain. Assume that the conducting loop has an area of 7.4 times 10-2 m-2 and the resistor has a resistance of 110 ohm. Perpendicular to the plane of the loop is a magnetic field of strength 0.18 T. At what rate (in T/s) must this field change if the current in the loop is to be 0.22A?

Explanation / Answer

a) If the current in the wire increases then the flux linked through the resistance loop increases , thus by right hand thumb rule the induced current should be directed in the direction such that it opposes the increase in magnetic field and thus the current will be directed clockwise. b) rate of change in magnetic field = IR/A = 0.22*110/(7.4*10^-2) = 327.1 T/s