Question

Which of the following produces large Joule heating effect?

• A. $1A$ current through $2\Omega$ resistor for $3$ second
• B. $1A$ current through $3\Omega$ resistor for $2$ second
• C. $2A$ current through $1\Omega$ resistor for $2$ second
• D. $3A$ current through $1\Omega$ resistor for $1$ second

Answer 1

The correct option is D $3A$ current through $1\Omega$ resistor for $1$ second

Heat produced, $H=i^{2}Rt$

(A) : $H_A=\left(1^2\right)\left(2\right)\left(3\right)=6J$

(B) : $H_B=\left(1^2\right)\left(3\right)\left(2\right)=6J$

(C) : $H_C=\left(2^2\right)\left(1\right)\left(2\right)=8J$

(D) : $H_D=\left(3^2\right)\left(1\right)\left(1\right)=9J$

Thus maximum heat is produced in D.