Which of the following curves represents the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The heat produced $(H)$ in a resistor of resistance $R$ due to a current $i$ flowing for time $t$ is given by Joule's law of heating: $H = i^2Rt$.

Vedclass · Accepted Answer

$d$

Vedclass · Answer

(D) The heat produced $(H)$ in a resistor of resistance $R$ due to a current $i$ flowing for time $t$ is given by Joule's law of heating: $H = i^2Rt$.Assuming resistance $R$ and time $t$ are constant,we have $H \propto i^2$.This equation represents a parabola opening upwards along the $H$-axis (or $U$-axis in this graph).Looking at the provided curves,curve $d$ represents a parabolic relationship where $H$ increases more rapidly as $i$ increases,which is characteristic of a quadratic dependence $(i^2)$.Therefore,curve $d$ is the correct representation.

Which of the following curves represents the relationship between the heat produced in a resistor and the current flowing through it?

Similar Questions

In a large building,there are $15$ bulbs of $40\ W$,$5$ bulbs of $100\ W$,$5$ fans of $80\ W$,and $1$ heater of $1\ kW$. The voltage of the electric mains is $220\ V$. The minimum capacity of the main fuse of the building will be ................ $A$.

The ratio of heat dissipated per second through the resistance $5 \Omega$ and $10 \Omega$ in the circuit given below is:

The material of a fuse wire should have:

On giving $220\,V$ to a resistor,the power dissipated is $40\,W$. The value of the resistance is ............... $\Omega$.

$A$ $10\, \Omega$ electric heater operates on a $110\, V$ line. Calculate the rate at which it develops heat in $watts$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module