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Question
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B `hat"i".` The torque on the coil due to the magnetic field is: ____________.
Options
`("Br"^2"I")/(pi"N")`
`"B"pi"r"^2"IN"`
`("B"pi"r"^2"I")/"N"`
Zero
MCQ
Fill in the Blanks
Solution
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B `hat"i".` The torque on the coil due to the magnetic field is: `"B"pi"r"^2"IN"`.
Explanation:
`absvectau = abs(vec"m" xx vec"B") = "mB" "sin" theta`
`therefore absvectau = "NIA" xx "B" "sin" 90°`
`therefore tau = "NI" (pi"r"^2) "B" xx 1`
`= "B" pi"r"^2 "IN"`
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Magnetic Dipole Moment
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