One hundred turns of (insulated) copper wire are wrapped around a wooden cylindrical core of cross-sectional area 1.32 × 10-3 m2. the two ends of the wire are connected to a resistor. the total resistance in the circuit is 10.6 ω. if an externally applied uniform longitudinal magnetic field in the core changes from 1.31 t in one direction to 1.31 t in the opposite direction, how much charge flows through a point in the circuit during the change?

The charge flos through the coil is 0.023C

Explanation:

To solve this problem, it is necessary to apply the concepts related to Faraday's Law in which it is possible to calculate the emf Voltage induced due to a charge in a magnetic field

and Ohm's Law for the calculation of the current based on a given load over time.

Our data are given by:

Where

N is the number of loops, A the area and R the Resistance.

The change in magnetic field can be calculated as,

The Faraday's law of electromagnetic induction is given by definition as,

In the other hand Ohm's law says:

Equating both equations we have

We can re-arrange the equations to solve q, then

Therefore the charge flos through the coil is 0.023C

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