SATHEE: Electrostatics Question 753

Electrostatics Question 753

Question: Two charges $q_{1}$ and $q_{2}$ are placed 30 cm apart. A third charge $q_{3}$ is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is $\frac{q_{3}}{4 π \in_{0}} k,$ where k is

Options:

A) $8 q_{1}$

B) $6 q_{1}$

C) $8 q_{2}$

D) $6 q_{2}$

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Answer:

Correct Answer: C

Solution:

[c] We know that potential energy of discrete system of charges is given by

$U = \frac{1}{4 π ε_{0}} (\frac{q_{1} q_{2}}{r_{12}} + \frac{q_{2} q_{3}}{r_{23}} + \frac{q_{3} q_{1}}{r_{31}})$

According to question, $U_{i n i t i a l} = \frac{1}{4 π ε_{0}} (\frac{q_{1} q_{2}}{0.3} + \frac{q_{2} q_{3}}{0.5} + \frac{q_{3} q_{1}}{0.4})$

$U_{final} = \frac{1}{4 π ε_{0}} (\frac{q_{1} q_{2}}{0.3} + \frac{q_{2} q_{3}}{0.1} + \frac{q_{3} q_{1}}{0.4})$

$U_{i n i t i a l} - U_{final} = \frac{1}{4 π ε_{0}} (\frac{q_{1} q_{2}}{0.3} - \frac{q_{2} q_{3}}{0.5})$

$= \frac{1}{4 π ε_{0}} [10 q_{2} q_{3} - 2 q_{2} q_{3}] = \frac{q_{3}}{4 π ε_{0}} (8 q_{2})$

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Electrostatics Question 753

Question: Two charges $q_{1}$ and $q_{2}$ are placed 30 cm apart. A third charge $q_{3}$ is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is $\frac{q_{3}}{4 π \in_{0}} k,$ where k is

Options:

Answer:

Solution:

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Electrostatics Question 753

Question: Two charges q1 and q2 are placed 30 cm apart. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34π∈0k, where k is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: Two charges $q_{1}$ and $q_{2}$ are placed 30 cm apart. A third charge $q_{3}$ is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is $\frac{q_{3}}{4 π \in_{0}} k,$ where k is