Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsPotential & potential energyHard2 minPYQ_2013

PhysicsHardmultiple choice

Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ$ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region,

Options:(select one or more)

Answer:

C, D

Solution:

In triangle $P C_{1} C_{2}$ ,
${\vec{r}}_{2} = \vec{d} + {\vec{r}}_{1}$

The electrostatic field at point $P$ is,
$\vec{E} = \frac{K (ρ \frac{4}{3} π R_{1}^{3}) ({\vec{r}}_{2})}{R_{1}^{3}} + \frac{K (ρ \frac{4}{3} π R_{2}^{3}) (- {\vec{r}}_{1})}{R_{2}^{3}}$
$\vec{E} = K ρ \frac{4}{3} π ({\vec{r}}_{2} - {\vec{r}}_{1})$
$\vec{E} = \frac{ρ}{3 ε_{0}} \vec{d}$

Stream:JEE_ADVSubject:PhysicsTopic:ElectrostaticsSubtopic:Potential & potential energy

⏱ 2mℹ️ Source: PYQ_2013

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