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A rectangular frame of 25 cm x 15 cm is ...

A rectangular frame of 25 cm x 15 cm is placed normal to `2 xx 10^4 NC^(-1)` uniform field. If this frame is formed in circular shape, then flux associated will be......`Nm^(2)C^(-1)`.
(a) 750
(b) 1019.1
(c) 800
(d) 2015.5

A

750

B

1019.1

C

800

D

2015.5

Text Solution

Verified by Experts

The correct Answer is:
B
Total length of frame
`l=2(25 + 15) = 2 xx 40`
=80 cm
Radius of circle of length r,
`r=l/(2pi) = 80/(2 xx 3.14) = 40/pi xx 10^(-2) m`
Area.
`A = pir^(2) = pi xx (40 xx 10^(-2))^(2)/pi^(2) =(1600 xx 10^(-4))/pi m^(2)`
`therefore` Flux associated with circular frame,
`phi =EAcostheta`
`=2 xx 10^(4) xx (1600 xx 10^(-4))/pi xx cos0^(@)`
`therefore 1019.1 Nm^(2)C^(-1)`
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