Physics
Grade-9
Easy

Question

Resistors, each of 50 Ω, are connected in a circuit in series. It gives a current of 1.5 A when connected across a 300 V supply. How many resistors are connected in series?

  1. 3
  2. 4
  3. 5
  4. 6

Hint:

Ohm’s law states that the potential difference between two points is directly proportional to the current passing through the resistance, and directly proportional to the resistance of the electric circuit. 
Ohm’s law is V=IR.

The correct answer is: 4


    4 resistors are connected in series.
    • The resistors in each series bear a voltage shared equally when it is supplied by a constant current voltage.
    • The number of resistors determines the resistances in each series.
    • Applying Ohm's law, V=IR
    • R= V over Ifraction numerator 300 over denominator 1.5 end fraction= 200 Ω
    • Let, x be the number of resistors in series, Thus, x= fraction numerator 200 capital omega over denominator 50 capital omega end fraction= 4
    • Therefore, a series combination of 4 resistors gives the current of 1.5 A when connected across a 300 V supply. 

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