Question

What is the magnetic field at a point P midway between two wires, each carrying a current of 29 Amps in opposite directions and separated by a distance of 13.7 cm? Select one: a. 4.2e-5 Tesla b.0.00 Tesla, the fields cancel c. 8.5e-5 Tesla d. 5.3e-4 Tesla e. 1.7e-4 Tesla

Answer 1

Answer:

e)$B=1.7\times e^{-4}\ T$

Explanation:

Given that

I= 29 A

Distance ,r=13.7 cm

As we know that when current is flowing in the same direction then magnetic field will be in the opposite direction and when current is flowing in the opposite then produce magnetic field will be in same direction.

Here current is flowing in opposite direction that is why we add magnetic field.

Magnetic field ,B

$B=B_1+B_2$

$B=\dfrac{2\mu I}{2\pi r}$

Now by putting the values

r = 13.7/2 = 6.85 cm

r=0.0685 m

$B=\dfrac{2\times 4\pi \times 10^{-7} \times 29}{2\pi \times 0.0685}\ T$

B=0.000169 T

$B=1.69\times 10^{-4}\ T$

$B=1.7\times 10^{-4}\ T$

$B=1.7\times e^{-4}\ T$

So the option e is correct.