2 times 10^{-7} ;C અને 3 times 10^{-7} ;C વિદ | vedclass

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Question

Repulsive force of magnitude $6 	imes 10^{-3} \,N$

Charge on the first sphere, $q_{1}=2 	imes 10^{-7} \,C$

Charge on the second sphere, $q_{2}

Vedclass · Accepted Answer

$6 	imes 10^{-3}\; N$

Vedclass · Answer

Repulsive force of magnitude $6 	imes 10^{-3} \,N$

Charge on the first sphere, $q_{1}=2 	imes 10^{-7} \,C$

Charge on the second sphere, $q_{2}=3 	imes 10^{-7} \,C$

Distance between the spheres, $r=30 \,cm =0.3\, m$

Electrostatic force between the spheres is given by the relation

$F=\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{q_{1} q_{2}}{r^{2}}$

Where, $\varepsilon_{0}=$ Permittivity of free space and $\frac{1}{4 \pi \varepsilon_{0}}=9 	imes 10^{9} \,Nm ^{2} \,C ^{-2}$

Therefore, force

$F =\frac{9 	imes 10^{9} 	imes 2 	imes 10^{-7}}{(0.3)^{2}}=6 	imes 10^{-3} \,N$

Hence, force between the two small charged spheres is $6 	imes 10^{-3}\; N$. The charges are of same nature. Hence, force between them will be repulsive.

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