the magnetic flux(x) through a stationary loop with resistance R varies during interval of time T as x= at(T-t) - Physics - Electromagnetic Induction

Question

the magnetic flux(x) through a stationary loop with resistance R
varies during interval of time T as x= at(T-t) The heat generated
during this time neglecting the inductance of loop will be
1) a2T3/3R
2) a2T2/3R
3) a2T/3R
4) a3T2/3R

Neha Gupta · Accepted Answer

flux is given by:X = at(T-t)Emf induced is given by:e = -dxdte =
2at-aTheat produced during this time period is given by:H =
∫0Te2RdtH = ∫0T4a2t2+a2T2-4a2TtRdtH =
13R4a2T3+3a2T3-6a2T3H = a2T33RHence option (1) is correct

the magnetic flux(x) through a stationary loop with resistance R varies during interval of time T as x= at(T-t). The heat generated during this time neglecting the inductance of loop will be 1) a2T3/3R 2) a2T2/3R 3) a2T/3R 4) a3T2/3R

the magnetic flux(x) through a stationary loop with resistance R varies during interval of time T as x= at(T-t). The heat generated during this time neglecting the inductance of loop will be

1) a²T³/3R

2) a²T²/3R

3) a²T/3R

4) a³T²/3R