The inductance of a tightlywound coil is such that an emf of 3.00 mV is induced
ID: 1679937 • Letter: T
Question
The inductance of a tightlywound coil is such that an emf of 3.00 mV is induced when thecurrent changes at a rate of 5.00 A/s. A steady current of 8.00 Aproduces a magnetic flux of 40.0 Wb through eachturn. A) Find the inductance of thecoil.B)Find the number of turns thecoil has. The inductance of a tightlywound coil is such that an emf of 3.00 mV is induced when thecurrent changes at a rate of 5.00 A/s. A steady current of 8.00 Aproduces a magnetic flux of 40.0 Wb through eachturn. A) Find the inductance of thecoil.
B)Find the number of turns thecoil has.
Explanation / Answer
given that e. m.f in the coil = = 3.00mv = 3.00 *10-3v rate of change of current in coil = di/dt = 5.00A/s steady current in the coil = I= 8.00A magnetic flux in the coil through each turn =B = 40 .0 * 10-6 wb A) inductance of the coil = -L di/dt taking magnitudes L = /di/dt = 3.00 * 10-3v/ 5.00 A/s = 0.6 * 10-3 mH B) number of turns coil has = N =LI/B = 0.6 * 10-3 * 8.00A/40. 0 * 10-6 wb = 120turns
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