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Equal currents i=1 A are flowing through...

Equal currents `i=1` A are flowing through the wires parallel to y-axis located at `x=+1m, x=+2m, x=+4m` and so on...., etc. but in opposite directions as shown in Fig The magnetic field (in tesla) at origin would be

A

`-1.33xx10^-7hatk`

B

`1.33xx10^-7hatk`

C

`2.67xx10^-7hatk`

D

`-2.67xx10^-7hatk`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `vecB=(mu_0)/(2pi)[(1/1+1/4+1/16+....)hatk-(1/2+1/8+....)hatk]`
`=(mu_0)/(4pi)[(1/(1-1/4))hatk-1/2(1/(1-1/4))hatk]`
`=2/3 (mu_0)/(2pi)hatk=(2/3xx2xx10^-7)hatk=1.33xx10^-7hatk`
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CENGAGE PHYSICS-SOURCES OF MAGNETIC FIELD-Exercise (single Correct )
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