#### Question

The magnetic flux through a loop is varying according to a relation `phi = 6t^2 + 7t + 1` where `phi` is in milliweber and t is in second. What is the e.m.f. induced in the loop at t = 2 second?

#### Solution

Given : `phi = 6t^2 + 7t + 1` (in milliweber),t=2s

find: Magnitude of induced e.m.f. (e)

formula: `e=(dphi)/dt` (in magnitude)

Calculation: Using formula

`e=d/dt(6t^2+7t+1)`

`=12t+7`

At t=2s

`|e|=12 xx 2 + 7`

`=31mV=31xx10^-3V`

Is there an error in this question or solution?

#### APPEARS IN

Solution The Magnetic Flux Through a Loop is Varying According to a Relation Phi = 6t^2 + 7t + 1.Where `Phi` Is In Milliweber and T is in Second. What is the E.M.F. Induced in the Loop at T = 2 Second? Concept: Electromagnetic Induction.