Question

If the current is flowing through a $10\Omega$ resistor, then in which case the maximum heat will be generated?

• A. $5amperein2minutes$
• B. $4amperein3minutes$
• C. $3amperein6minutes$
• D. $2amperein5minutes$

Answer 1

Answer: (C)

$3amperein6minutes$

Heat generated $H=i^{2}Rt$

(A) : $H_A=\left(5{)}^2\right(10\left)\right(2\times 60)=30kJ$

(B) : $H_B=\left(4{)}^2\right(10\left)\right(3\times 60)=28.8kJ$

(C) : $H_C=\left(3{)}^2\right(10\left)\right(6\times 60)=32.4kJ$

(D) : $H_D=\left(2{)}^2\right(10\left)\right(5\times 60)=12kJ$

Thus maximum heat is generated in case $C$.