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Shows a rod PQ of length 20.0 cm and mas...

Shows a rod PQ of length 20.0 cm and mass 200g suspended through a fixed point O by two threads of lengths 20.0 cm each. A magnetic field of strenght 0.500 T exists in the vicinity of the wire PQ as shown in the figure. The exists in the vicinity of the wire PQ as shown in the figure. The wires conecting PQ with the battery are loose and exert no force on PQ.(a) find the tension in the threads when the switch S is open. (b) A current of 2.0 A is established when the switch S is closed. Find the tension in the threads now.

Text Solution

Verified by Experts

(a) When switch S is open
`2T cos 30^@=mg implies T=mg//2cos 30^@=2/sqrt3=1.13N`
(b) When the switch is closed and a current passed through the circuit `=2A`
Then , `2T' cos 30^@=mg+ilB`
`2T'(sqrt3/2)=2.2 implies T'=2.2/sqrt3N`
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