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JEE Mains · Physics · STD 12 - 1. Electric charges and fields

A point charge \(q =1 \mu C\) is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge \(Q=24 \mu C\), distributed uniformly along its length, as shown in figure. Force between q and wire is _________ N.
(Use \(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 N \cdot m ^2 / C ^2\) )
image

  1. A 45
  2. B 90
  3. C 180
  4. D 60
Verified Solution

Answer & Solution

Correct Answer

(B) 90

Step-by-step Solution

Detailed explanation

\(F =\int dF =\int_{2 cm}^{12 cm} \frac{ kq \lambda dx }{ x ^2}= kq \lambda\left(\frac{1}{2 \times 10^{-2}}-\frac{1}{12 \times 10^{-2}}\right)\)…
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