Three point charges q , - 2 q and 2 q are placed on x axis at a distance x = 0 , x = 3 4 R and x = R respectively from origin as shown. If q = 2 × 10 - 6 C and R = 2 cm , the magnitude of net force experienced by the charge - 2 q is _____ N .

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PhysicsElectrostaticsElectric Field & ForceEasy2 minPYQ_2023

PhysicsEasynumerical

Three point charges $q, - 2 q$ and $2 q$ are placed on $x$ axis at a distance $x = 0, x = \frac{3}{4} R$ and $x = R$ respectively from origin as shown. If $q = 2 \times 10^{- 6} C$ and $R = 2 cm$ , the magnitude of net force experienced by the charge $- 2 q$ is _____ $N$ .

Answer:

5440.00

Solution:

The net force on the given charge will be the resultant of the forces due to the other two charges.
Hence, the net force $(F_{n})$ can be calculated as follows:
$\begin{array}{rcl} F_{n} & = & \frac{1}{4 π ε_{0}} \frac{4 q^{2}}{{(\frac{R}{4})}^{2}} - \frac{1}{4 π ε_{0}} \frac{2 q^{2}}{{(\frac{3 R}{4})}^{2}} \\ = & 9 \times 10^{9} \times \frac{16 q^{2}}{R^{2}} [4 - \frac{2}{9}] \\ = & 9 \times 10^{9} \times \frac{16 \times {(2 \times 10^{- 6} C)}^{2}}{{(0.02 m)}^{2}} \times \frac{34}{9} \\ = & 5440 N \end{array}$

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: PYQ_2023

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