Two long, para el conductors, separated by 14.0 cm, carr currents in the same di

Question

Two long, para el conductors, separated by 14.0 cm, carr currents in the same direction. The first wire arres a current 1 the conductors lie in the plane of the page.) 6.00 A and he second carne 2-B e gu be w Assume (a) What is the magnetic field created by I1 at the location of I2? magnitude direction | Select- (b) What is the force per unit length exerted by I1 on I2? magnitude direction -Select- N/m (c) What is the magnetic field created by 12 at the location of 11? magnitude direction !--Select- (d) What is the force per length exerted by 12 on 11? magnitude direction I-Select- 2) N/m

Explanation / Answer

(a)

formula for magentic field created I1 at the locatonof I2 is

B = uo I1/ 2pi r

= 2 * 10^-7 ( 6)/0.14

=8.57 * 10^-6 T

from the right hand rule

direction is +ve z-direction

(b)

F 2= B1 * I2* L

= 8.57 * 10^-6 ( 8) L

F2/L = 68.57 * 10^-6 N/m

direction is -ve y direction

(c)

B2 = o I2/ 2 r

      = 2 x 10^-7 * 8 / 0.14 )

      = 6.4x 10^-7 T

direction is -ve z-direction

(d)

F2 = B2 I1 L

F2/L = 6.4 * 10^-7 ( 6)

=38.4 * 10^-7 N/m

direction is + y direction

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