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Q.

Diagram shows a semi-infinite wire having a charge density λ.  A ring carrying a total charge Q is kept as shown. Choose the correct option(s):

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a

The force experienced by ring is in vertical direction & have a value of  λQ4πε0R

b

Net force experienced by ring is in vertical direction and have value of  λQ2πε0R

c

Tension in the ring is zero

d

Tension in the ring is  Qλ8π2ε0R

answer is A, D.

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Detailed Solution

 Question Image
Electric field due to wire at ring will have two component is horizontal  (kλR) & in vertical (kλR).
  Net force experience by ring  =kλRQ=λQ4πε0R
Also,
  Question Image
 2Tdθ2=14πε0λQdθ2πRT=λQ8π2ε0R
 

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