Consider a square frame made of uniformly charged non conducting wires of length d and linear charge density λ m C . Choose the CORRECT statement(s).

Question

Consider a square frame made of uniformly charged non conducting wires of length d and linear charge density λ m C ​ . Choose the CORRECT statement(s).

TestHub · Accepted Answer

By symmetry the field at the centre A cancels - (A).

All charge is positive and A is closer on average to the wires than B: $V_{A} > V_{B}$ - (B).

At B: $r = \frac{5 d}{2}$ , $sin θ_{1} = sin θ_{2} = \frac{1}{6}$ , $tan α = \frac{1}{2}$ ; $E_{⊥} = \frac{4 K λ}{30 d}$ , $E_{∥} = 0$ ⇒ $E_{0} = 4 E_{⊥} cos α = \frac{32 K λ}{150 d}$ - (C).

$V_{B} = 4 K λ lo g_{e} [\frac{s e c θ + t a n θ}{s e c θ - t a n θ}]$ , $θ = sin^{- 1} \frac{1}{6}$ - (D).

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