write joule's law of heating
Answers
>square of the current
>resistance
>time taken
H proportional to I^2
H proportional to R
H proportional to T
H = I ^2 RT k(k is constant of proportionality which equals 1)
H = I^ 2* R *T
by applying ohms law in the given expression
H = I *I *R * T
H = V*I *T( V= I * R)
The law implies that heat produced in a resistor is
# directly proportional to the square of current (I ^2) for a given resistance,
# directly proportional to the resistance (R) for a given current,
# directly proportional to the time (t) for which the current flows through the resistor.
consider a current I flowing through a resistor of resistance R. Let the potential difference across it be V.Let t be the time t be the time during which a charge Q flows across. The work done (W) in moving the charge Q through the potential difference V is VQ. Therefore the source must supply energy equal to VQ in time t.
The energy gets dissipated in the resistor as heat. Thus for a steady current I, the amount of heat H produced in time t is
H=W=VQ
SINCE, Q=It
H = V I t
BY APPLYING OHM'S LAW,
WE GET H= I^2 Rt
This is known as joule's law of heating.