The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is

Question

The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is (A) (BR/4) (B) (-BR/2) (C) BR (D) 2BR

Tardigrade Admin · Accepted Answer

The induced electric field is given by, oint E ⋅ d1 = - (d φ/dt) or El = -s ( (dB/dt) ) ∴ E (2 π R) = - ( π R2) (B) or E = - (BR/2)

Q. The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is

$\frac{BR}{4}$

$\frac{- BR}{2}$

BR

2BR

The induced electric field is given by,
$\oint E \cdot d 1 = - \frac{d ϕ}{d t}$
or $El = - s (\frac{d B}{d t})$
$∴ E (2 π R) = - (π R^{2}) (B)$
or $E = - \frac{BR}{2}$

Q. The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is

4BR​

2−BR​

BR

2BR

The induced electric field is given by, ∮E⋅d1=−dtdϕ​ or El=−s(dtdB​) ∴E(2πR)=−(πR2)(B) or E=−2BR​

$\frac{BR}{4}$

$\frac{- BR}{2}$

The induced electric field is given by,
$\oint E \cdot d 1 = - \frac{d ϕ}{d t}$
or $El = - s (\frac{d B}{d t})$
$∴ E (2 π R) = - (π R^{2}) (B)$
or $E = - \frac{BR}{2}$