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A steady current I flows through an appliance of resistance R. The amount of heat produced by it in time t is:
Question

A steady current I flows through an appliance of resistance R. The amount of heat produced by it in time t is:

A.

I^2 Rt

B.

(It)/R

C.

IRt

D.

(I^2 t)/R

Correct option is A

 Correct Option :  (a)  I2Rt I^2 Rt

The amount of heat produced by an appliance with resistance ( R ) when a steady current ( I ) flows through it for a time ( t ) can be calculated using Joule's law of heating.
The formula for the heat produced is:

H=I2RtH = I^2 R t

 - (H) is the heat produced (in joules),
- (I) is the current (in amperes),
- (R) is the resistance of the appliance (in ohms),
- (t) is the time the current flows (in seconds).

Information Booster : 

  • ​The heat produced in a resistor is directly proportional to the square of the current (I2I^2I2), the resistance (RRR), and the time (ttt).
  • This formula is derived from the power equation P=I2RP = I^2 RP=I2R and then multiplying by time ttt to find the total energy (heat) produced: 

 H=P×t=(I2R)×t=I2Rt​

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