# E-field from Time Varying B-field of Current wire

1. May 8, 2013

### kalashbhatt

1. The problem statement, all variables and given/known data
Time Varying Current carrying wire creates time varying magnetic field.How can we analytically calculate electric field at distance r from the time varying current carrying wire?

I(t) is time varying current

where α , β are angle of two ends of current carrying wire.

2. Relevant equations

B=μ*I(t)(sin(α)+sin(β)/(4*pi) direction given by right hand thumb rule.in Phi direction.
*consider length of wire to very very less than wavelength of changing current.*

3. The attempt at a solution
∇×E=−dB/dt .

dEψ/dz = −dB/dt .

Last edited: May 8, 2013
2. May 8, 2013

### mukundpa

Faraday's law can be written as

$\oint$$\vec{E}$.$\vec{dl}$ = - d∅/dt

Last edited: May 8, 2013