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AP EAMCET · PHYSICS · Electrostatics

Two concentric spherical surfaces \(P_1\) and \(P_2\) enclose charges \(\frac{Q}{2}\) and \(4 Q\) as shown in the figure. If \(\phi_1\) and \(\phi_2\) are the electric fluxes linked with the surfaces \(P_1\) and \(P_2\) respectively then

  1. A \(\phi_2=9 \phi_1\)
  2. B \(\phi_1=9 \phi_2\)
  3. C \(\phi_2=2 \phi_1\)
  4. D \(\phi_1=2 \phi_2\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\phi_2=9 \phi_1\)

Step-by-step Solution

Detailed explanation

As, flux linked with a surface \(\phi=\frac{\mathrm{Q}_{\text {enclosed }}}{\varepsilon_0}\) So flux linked with surfaces \(P_1\) and \(P_2\) are \(\phi_1=\frac{q}{2 \varepsilon_0}\) and \(\quad \phi_2=\frac{q Q}{2 \varepsilon_0}=9\left(\frac{Q}{2 \varepsilon_0}\right)\) or…
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