Home
Class 12
PHYSICS
A wire is bent into three circular segm...

A wire is bent into three circular segment of radius `r = 10 cm` as shown in. Each segment is a quadrant of a circle `ab` lying in the `x-y` plane, `bc` lying in the `y-z` plane and `ca` lying in the `z-x` plane.
(a) if a magnetic field `B` points in the positive `x` direction, what is the magnitude of the emf developed in the wire when `B` increases at the rate of `3 mTs^(-1)`?
(b) What is the direction of the current in the segment `bc`.

Text Solution

Verified by Experts

The correct Answer is:
`(i) 2.4xx10^(-5)V` (ii) from `c` to `b`
Flux will pass through only loop lying in `y-z` plane i.e. `bc`
(i) `phi=Bxx(pir^(2))/4`
`e=(dphi)/(dt)=(pir^(2))/4xx(dB)/(dt)`
`=3.14/4xx(0.1)^(2)xx3xx10^(-3)=2.4xx10^(-5)` volt
(ii) Flux is increasing in `x` direction so induce flux will be `(-)x` direction so current will be from `c` to `b`.
Promotional Banner

Similar Questions

Explore conceptually related problems

A wire is bent into three circular segment og radius r = 10 cm as shown in. Each segment is a quardrant of a circle ab lyinf in rthe x-y plane, bc lying in the y-z plane and ca lying in the z-x plane. (a) if a magnetic field B points in the positive x direction, what is the magnitude of the emf developed in the wire when B increases at the rate of 3 mTs^(-1) ? (b) What is the direction of teh current in the segment bc .

A wire is bent into three segments each of radius r . Each segment is a quardant of a circle. The first segment lies in X-Y plane, the second in the Y-Z plane and third in XZ plane. If a current i flows in the wire then net dipole moment of wire is:

A wire, carrying a current i , is kept in the x-y plane along the curve y = A sin ((2pi)/(lambda) x) . A magnetic field B exista in the z-direction. Find the magnitude of the magnetic force on the portion of the wire between x = 0 and x = lambda .

What is the y intercept of the plane x-5y+7z=10

A wire, carriying a current I is kept in the x-y plame the curve y -(2 cm) Asin((2pi)/(lambda)x).A magnetic field B exists in the z - direction.Find the magnitude of the magnetic force on the portion of the wire between z- -0 and x=lambda//2

In Fig, find the magnetic field at point P. The loop is lying in x-y plane.

Three identical wires are bent into semi-circular arcs to each of radius R . These arcs are connected with each other to form a closed mesh such that one of tham lies in x-y plane, one in y-z plane and the other in z-x plane as shown in. In the region of space, a uniform magnetic field of induction vec(B) = B_(0)(hat(i) + hat(j)) exists, whose magnitude increases at a constant rate dB//dt = alpha . Calculate the magnitude of emf induced in the mesh and mark the direction of flow of induced current in the mesh.