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MCQ: Electric Charges and Fields, Physics - Class 12 PDF Download

What will be the value of a charge q, such that when it is placed at the centre of two equal and like charges Q, the three charges are in equilibrium.
  • a)
    +Q/4
  • b)
    Q
  • c)
    -Q/4
  • d)
    Q/2
Correct answer is option 'C'. Can you explain this answer?

Ref: https://edurev.in/question/467924/What-will-be-the-value-of-a-charge-q-such-that-when-it-is-placed-at-the-centre-of-two-equal-and-lik

Question: A charge q is placed at the center of the line joining two equal charges Q. Show that the system of three charges will be in equilibrium if q = -Q/4.

Solution: 

MCQ: Electric Charges and Fields, Physics - Class 12

Here,

OA = AB = x/2

OB = x

Force on the charge at B due to the charge at O is,

F1 = kQ2/x2

Force on the charge at B due to the charge at A is,

F2 = kQq/(x/2)2

For the system to be in equilibrium,

F1 + F2 = 0

=> kQ2/x2 + kQq/(x/2)2 = 0

=> q = -Q/4

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FAQs on MCQ: Electric Charges and Fields, Physics - Class 12

1. What is an electric charge?
Ans. Electric charge is a fundamental property of matter. It can be positive or negative, and it determines the interaction between particles through the electromagnetic force.
2. What are the units of electric charge?
Ans. The SI unit of electric charge is the coulomb (C). The elementary charge of an electron is approximately equal to -1.6 x 10^-19 C.
3. How are electric charges produced?
Ans. Electric charges can be produced by the transfer of electrons between objects. When electrons are added to an object, it becomes negatively charged, and when electrons are removed, it becomes positively charged.
4. What is an electric field?
Ans. An electric field is a region around a charged object or group of objects where an electric force is exerted on other charged particles. It is represented by electric field lines, which show the direction and strength of the electric field.
5. How do electric charges interact with electric fields?
Ans. Electric charges interact with electric fields by experiencing an electric force. The force experienced by a charged particle in an electric field is directly proportional to the charge and the strength of the field. Positive charges move in the direction of the electric field, while negative charges move in the opposite direction.
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