Question
Download Solution PDFAn electric heater does 200 J of work in 2 seconds. Find the resistance of the electric heater if the current in the circuit is 2 A.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Heating effect of electric current: When a current is flowing in a circuit having resistance there is a heat dissipation due to the resistance. This is called the heating effect of electric current.
- The heat dissipated is given by:
Heat (H) = I2 R t
Where I = the current flowing in the circuit, R = the resistance of the circuit, and t = the time taken
EXPLANATION:
Given that: current (I) = 2 A
Resistance = R
Heat dissipated = work done by the heater (H) = 200 J
Time (t) = 2 sec
Heat (H) = I2 R t = 22 × R × 2 = 200 J
8 R = 200
Resistance of the heater (R) = 200/8 = 25 Ω
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