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Shows a conducting circular loop of radius a placed in a uniform, perpendicular magnetic field B. A thick metal rod OA is pivoted at the Centre O. The other end of the rod touches the loop at A. The centre O and a fixed point C on the loop are connected by a wire OC of resistance R. A force is applied at the middle point of the rod OA perpendicularly, so that the rod rotates clockwise at a uniform angular velocity `omega`. Find the force.

Text Solution

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e=Bvl=(Bxxaxx omegaxxa)/2`
i= (Ba^2 omega)/(2R)`
`F=ilB=(Ba^2 omega)/(2R)xxaxxB`
`(Ba^2 omega)/(2R) towards right of OA.`.
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HC VERMA-ELECTROMAGNETIC INDUCTION-EXERCISE
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  2. A rectangular metallic loop of length l and width b is placed coplan...

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  3. Shows a conducting circular loop of radius a placed in a uniform, perp...

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  4. Consider the situation shown in the figure of the previous problem. Su...

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  5. Consider a variation of the previous problem. Suppose the circular loo...

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  6. Shows a situation similar to the previous problem. All parameters are...

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  7. A wire of mass m and length l can slide freely on a pair of smooth, ve...

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  8. A uniform magnetic field B exists in a cylindrical region, shown dotte...

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  9. The current in an ideal, long solenoid is varied at a uniform rate of...

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  10. An average emf of 20 V is induced in an inductor when the current in...

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  11. A magnetic flux of 8X10^(-4) weber is linked with each turn of a 200 -...

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  12. The current in a solenoid of 240 turns, having a length of 12 cm and ...

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  13. Find the value of t/tau for which the current in an LR circuit builds ...

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  14. An inductor coil carries a steady state current of 2.0 A when connect...

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  15. A coil having inductance 2.0 H and resistance 20 Omega is connected t...

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  16. A coil of resistance 40 Omega is connected across a 4.0 V battery. 0...

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  17. An inductor of inducance 5.0 H, having a negligible resistance, is con...

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  18. The time constant of an LR circuit is 40 ms. The circuit is connected...

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  19. An LR circuit has L = 1.0 H R =20 Omega. It is connected across an e...

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  20. What are the values of the self induced emf in the circuit of the pr...

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