Question

. 230V is applied to a resistor of 92Ωresistancea. Find the current in the circuit
b. Calculate the heat produced in it when it works for 14 minutes

Answer 1

Answer:

$\bigstar{\bold{Current(I)\:=\:2.5\:A}}$

$\bigstar{\bold{Heat(H)\:=\:483000\:J}}$

Explanation:

$\Large{\underline{\underline{\it{Given:}}}}$

• Voltage (V) = 230 V
• Resistance (R) = 92 Ω
• Time(T) = 14 min = 840 s

$\Large{\underline{\underline{\it{To\:Find:}}}}$

• Current in the circuit (I)
• Heat produced (H)

$\Large{\underline{\underline{\it{Solution:}}}}$

Current in the circuit:

➣ By Ohm's law current in a circuit is given by the formula

    I = V/R

➣ Substituting the given datas, we get

    I = 230/92

$\boxed{\bold{Current(I)\:=\:2.5\:A}}$

Heat produced:

➣By Joule's law of heating, heat produced is given by the formula

  H = I²RT

➣ Substitute the datas we get,

    H  = (2.5)² × 92 × 840

$\boxed{\bold{Heat(H)\:=\:483000\:J}}$

$\Large{\underline{\underline{\it{Notes:}}}}$

➜ Ohm's law state that a current flowing through a conductor is directly proportional to potential difference applied across its ends provided the temperature and other physical conditions remain unchanged.

V = RI

➜ Joule's law state that heat dissipated in a conductor is directly proportional to the square of the current flowing through the conductor, resistance of the conductor and the time for which current flows through the conductor.

H =I²RT