A conducting circular loop has N=10 turns, radius of 25.0 cm. and resistance of

Question

A conducting circular loop has N=10 turns, radius of 25.0 cm. and resistance of 0.1 Ohm. It is placed in a region of an external magnetic field, so that the magnetic field lines are spatially uniform, and at an angle of 40 degrees relative to the surface of the loop. The strength of the field is 1.2 T. Calculate magnetic flux through this loop. If the field starts decreasing at the rate of 0.02 T/s, determine magnitude and direction of the induced current (assume that the loop behaves like an Ohmic resistor). If, instead, magnetic field steadily increases to 1.5 T in 3 seconds, determine the induced EMF. If the change in the magnetic field strength ceases, what is the induced EMF then? Start with a good sketch, labeling relevant quantities!

Explanation / Answer

1.= NBAcos= 10*1.2*3.14*0.25^2*cos40 = 1.8 Wb

2. e= - Nd/dt = -NAdB/dt = -10**0.25^2*(-0.02) = 39.3 mT …..clockwise direction

3. e= - Nd/dt = -NAdB/dt = -10**0.25^2*(1.5/3) = -1.0 T …..ounterclockwise direction

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