Question #121649

A square conducting loop of side L contains a resistor, R. It is placed in a magnetic field, B, directed into the page and which changes as a function of time t according to the relationship B = at + b, where a and b are positive constants. No magnetic field exists outside the loop.

Derive an expression for the induced current in the loop in terms of a, b, L, and/or R (note: not all terms may be in your final expression).

Derive a similar expression in terms of a, b, L, and/or R for the power dissipated in the resistor.

Does the induced current flow clockwise or anticlockwise? Explain.

The square loop is replaced by a circular copper loop of diameter 0.20 m and consisting of 50 turns. If a = 10 and b = 2, determine the emf induced in the circular loop.

Derive an expression for the induced current in the loop in terms of a, b, L, and/or R (note: not all terms may be in your final expression).

Derive a similar expression in terms of a, b, L, and/or R for the power dissipated in the resistor.

Does the induced current flow clockwise or anticlockwise? Explain.

The square loop is replaced by a circular copper loop of diameter 0.20 m and consisting of 50 turns. If a = 10 and b = 2, determine the emf induced in the circular loop.

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