Question

Two long, parallel conductors separated by 14.0 cm carry currents in the same direction. The first wire carries a current I₁ = 5.50 A, and the second carries I₂ = 8.00 A. (Assume the conductors lie in the plane of the page.)

(a) What is the magnitude of the magnetic field created by I₁ at the location of I₂?
T

(b) What is the force per unit length exerted by I₁ on I₂?

magnitude	N/m
direction	---Select--- towards wire 1 towards wire 2

(c) What is the magnitude of the magnetic field created by I₂ at the location of I₁?
T

(d) What is the force per length exerted by I₂ on I₁?

magnitude	N/m
direction	---Select--- towards wire 1 towards wire 2

In the figure below, the current in the long, straight wire is

I₁ = 3.90 A,

and the wire lies in the plane of the rectangular loop, which carries 13.2 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and ℓ = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight wire on the loop.

magnitude	N
direction	---Select--- upward downward to the left to the right into the page out of the page

Two current-carrying wires lie side by side. The wire on the left is vertical and current I₁ flows upward through it. The wire on the right is a rectangular loop with length a and height ℓ. Current I₂ runs clockwise through the loop. The left wire is a distance c from the left side of the rectangular loop.

HELP w/ BOTH PLEAE w/ CLEAR SOLUTIONS!

Answer 1

given
d = 14 cm = 0.14 m
I1 = 5.50 A
I2 = 8.00 A

a) the magnitude of the magnetic field created by I1 at the location of I2,

B1 = mue*I1/(2*pi*d)

= 4*pi*10^-7*5.5/(2*pi*0.14)

= 7.86*10^-6 T <<<<<<<------------Answer

b) The force per unit length exerted by I1 and I2,

F/L = B1*I2

= 7.86*10^-6*8

= 6.29*10^-5 N/m <<<<<<------------Answer

direction : towards wire 1

c)
the magnitude of the magnetic field created by I2 at the location of I1,

B2 = mue*I2/(2*pi*d)

= 4*pi*10^-7*8/(2*pi*0.14)

= 1.14*10^-5 T <<<<<<<------------Answer

d) The force per unit length exerted by I2 and I1,

F/L = B2*I1

= 1.14*10^-5*5.5

= 6.29*10^-5 N/m <<<<<<------------Answer

direction : towards wire 2