A magnetic field points along the x-axis. A loop of wire with radius 3cm sits in

Question

A magnetic field points along the x-axis. A loop of wire with radius 3cm sits in the magnetic field, with the centre a distance of 5cm along the positive x-axis. The area vector is parallel to the field (so that the loop encloses the field lines). The magnetic field starts to change with time; the magnitude is given by B(t) = [(0.7 t 2) + 0.4] T. It is always pointing along the x-axis. At time t=5s, what is the emf generated in the loop (in Volts)? As in Q9, a magnetic field points along the x-axis. A loop of wire radius 3cm sits in the magnetic field, the area vector is parallel to the field (so that the loop encloses the field lines). The magnetic field starts to increase with time; it is given by Bff) = [(0.7 t 2) + 0.4] T. As in Q9, the loop of wire is on the point 5cm along the positive x-axis. Looking from the origin along the x-axis towards the loop, you would see it as a circle. Which statement is true about the magnetic flux through the loop, and the induced current as seen from the origin looking towards the loop? A. flux is increasing, current is anti-clockwise flux is increasing, current is clockwise flux is decreasing; current is anti-clockwise flux is decreasing, current is clockwise

Explanation / Answer

9) C)0.0063*pi volts

induced emf = N*A*dB/dt ( N is the no of loops and A is the area of the loop)

= N*A*0.7*2*t

= 1.4*N*A*t

at t = 5s,

inducedd emf = 1.4*1*pi*0.03^2*5

= 0.0063*pi volts

10) A) flux is increasing, current is anti-clockwise

As the time paases magnetic filed strength is increasing.so, magnetic flux increses.

when magnetic flux changes emf is induced and induced current flows in the llop.

According to lenz's law this induced current tris to decrease the magnetic flux through the loop.

so, current should be anit-clockwise.

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