# If the charge on four glass rods are 2q, -q, -5q and 3q respectively, then the total charge stored in the system is:

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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

• 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.