Two point charges $$100$$ μC and $$5$$ μC are placed at points A and B respectively with AB $$=$$ $$40$$ cm. The work done by external force in displacing the charge $$5$$ μC from B to C, where BC $$=$$ $$30$$ cm, angle $$ABC=$$π$$2$$ and $$14$$πε$$0=9$$×$$109$$ $$Nm2/C2$$

Question

Two point charges $$100$$ μC and $$5$$ μC are placed at points A and B respectively with AB $$=$$ $$40$$ cm. The work done by external force in displacing the charge $$5$$ μC from B to C, where BC $$=$$ $$30$$ cm, angle $$ABC=$$π$$2$$ and $$14$$πε$$0=9$$×$$109$$ $$Nm2/C2$$

Infinity Learn · Accepted Answer

Work done in displacing charge of $$5$$ μ C from B to C is $$W=5$$×$$10$$−$$6VC$$−VB $$whereVB=9$$×$$109$$×$$100$$×$$10$$−$$60.4=94$$×$$106$$ Vand $$VC=9$$×$$109$$×$$100$$×$$10$$−$$60.5=95$$×$$106$$ VSo $$W=5$$×$$10$$−$$6$$×$$95$$×$$106$$−$$94$$×$$106=$$−$$94$$ J

Two point charges $100 μC$ and $5 μC$ are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge $5 μC$ from B to C, where BC = 30 cm, angle $ABC = \frac{π}{2}$ and $\frac{1}{4 {πε}_{0}} = 9 \times 10^{9} {Nm}^{2} / C^{2}$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two point charges 100 μC and 5 μC are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5 μC from B to C, where BC = 30 cm, angle ABC=π2 and 14πε0=9×109 Nm2/C2

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two point charges $100 μC$ and $5 μC$ are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge $5 μC$ from B to C, where BC = 30 cm, angle $ABC = \frac{π}{2}$ and $\frac{1}{4 {πε}_{0}} = 9 \times 10^{9} {Nm}^{2} / C^{2}$