A coil of wire containing having N turns in an External magnetic Field that is perpendicular to the plane of the coil which is steadily changing. An Emf (∈) is induced in the coil.

To find :-

find the induced Emf if rate of change of the magnetic field and the number of turns in the coil are Doubled (but nothing else changes).

So,

Emf induced in the coil represented by formula

∈ = $-N\frac{d\phi}{dt}$ ...................(1)

Where:

. $\phi = BAcos\theta$ { B is magnetic field }

{A is cross-sectional area}

. $N =$ No. of turns in coil.

. $\frac{d\phi}{dt} =$ Rate change of induced Emf.

Here,

Considering the case :-

$N1 = 2N$ & $\frac{d\phi1}{dt} = 2\frac{d\phi}{dt}$

Putting these value in the equation (1) and finding the new emf induced (∈1)

∈1 = $-N1\times\frac{d\phi1}{dt}$

∈1 = $-2N\times2\frac{d\phi}{dt}$

∈1 = $4 [-N\times\frac{d\phi}{dt}]$

∈1 = 4∈ ...............{from Equation (1)}

Hence,

The Resultant Induced Emf in coil is 4∈.

8 0

4 years ago

A uniform solid sphere rolls down an incline without slipping. if the linear acceleration of the center of mass of the sphere is

Ulleksa [173]

A uniform solid sphere rolls down an incline without slipping. If the linear acceleration of the center of mass of the sphere is 0.19g, then what is the angle the incline makes with the horizontal?

3 0

3 years ago

A freight train rolls along a track with considerable momentum. If it rolls at the same speed but has twice as much mass, its mo

GREYUIT [131]

Answer:

doubled

Explanation:

Step 1. Linear momentum (p) = mass X velocity = mv

p = mv -----equation 1

Step 2. if the mass is now twice and speed is same

p = (2*m)v -----equation 2

solving equation 1 and 2 together,

p = mv = 2mv

p = 2

Therefore, its momentum is doubled

7 0

3 years ago