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If the charge on four glass rods are 2q, -q, -5q and 3q respectively, then the total charge stored in the system is:
1. -q
2. 11q
3. -11q
4. Zero

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Correct Answer - Option 1 : -q

CONCEPT:

Electric Charge

  • It is defined as the intrinsic property of certain fundamental particles like electrons, proton, etc, due to which they produce electric and magnetic effects.
  • Types of electric charge
    1. ​Positive charge: A body having a deficiency of electrons.
    2. ​Negative charge: A body having an excess of electrons.
  • Properties of electric charge
    • Like charges repel and unlike charges attract each other.
    • A charge is a scalar quantity.
    • Additivity of charge: If a system contains a number of point charges, then the total charge of the system is obtained simply by adding all the charges algebraically.
    • A charge is always quantized.
    • A charge will always remain conserved.
    • A charge is always associated with mass.
    • The unit of charge is the coulomb.


⇒ 1 coulomb = charge on 625 × 1016 electrons

CALCULATION:

Given q1 = 2q, q2 = -q, q3 = -5q and q4 = 3q

Additivity of charge:

  • If a system contains a number of point charges, then the total charge of the system is obtained simply by adding all the charges algebraically.
  • The total charge of the system that contains n number of charges is given as,

⇒ q = q1 + q2 + q3 + ... + qn

So the total charge stored in the system is,

⇒ q = q1 + q2 + q3 + q4

⇒ q = 2q - q - 5q + 3q

⇒ q = -q

  • Hence, option 1 is correct.

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