1) Detailed examination of the time varying voltage V B and the time varying cur
ID: 1580836 • Letter: 1
Question
1) Detailed examination of the time varying voltage VB and the time varying current through the coil A will show that at the moment when the voltage VB is the maximum the current through the coil A is zero.
2) At a constant value of the angular frequency , if the coil B is moved away from the coil A, the maximum value of VB will decrease.
3) While the coil B is held stationary nearby the coil A if the angular frequency is increased, the maximum value of the mutual inductance will increase.
4) At a constant value of the angular frequency , if the coil B is brought closer to the coil A, the value of the mutual inductance will increase.
5) While the coil B is held stationary nearby the coil A if the angular frequency is decreased, there will be no change in the maximum value of VB.
Is losin(wt) V.Explanation / Answer
The induced emf in the coil B is say E_B = - d(phi_B1)/dt
and phi_B1 = M*I1
where M is mutual inductance which depends on the size of the coils, their distance and the number of turns of each
so we can write E2 = -MdI1/dt
given I = I0 sin (wt)
when the coil b is moved horizontally from the coil A , when th coil B is nearer to the coil A the flux change (increase ) will be more so that the emf in the coil B is more
1)
Detailed examination of the time varying voltage VB and the time varying current through the coil A will show that at the moment when the voltage VB is the maximum the current through the coil A is zero. is not true
the current in coil A is maximum
2)At a constant value of the angular frequency , if the coil B is moved away from the coil A, the maximum value of VB will decrease.
True , because more number of field lines pass through the coil B so the change in flux is more ==> more VB value
3) While the coil B is held stationary nearby the coil A if the angular frequency is increased, the maximum value of the mutual inductance will increase
True , as I increases by increasing W value so as the emf in coil B also
4) At a constant value of the angular frequency , if the coil B is brought closer to the coil A, the value of the mutual inductance will increase
True , closer the coil , M value increases
5 ) While the coil B is held stationary nearby the coil A if the angular frequency is decreased, there will be no change in the maximum value of VB.
False
there will be decrease in VB
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