Two heater wires of equal length are first co | vedclass

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

Question

(D) Let the resistance of each heater wire be $R$. When connected in series,the equivalent resistance is $R_s = R + R = 2R$. When connected in paralle

Vedclass · Accepted Answer

$1:4$

Vedclass · Answer

(D) Let the resistance of each heater wire be $R$. When connected in series,the equivalent resistance is $R_s = R + R = 2R$. When connected in parallel,the equivalent resistance is $R_p = \frac{R \cdot R}{R + R} = \frac{R}{2}$. For a constant potential difference $V$,the heat produced $H$ is given by $H = \frac{V^2}{R_{eq}} \cdot t$. Therefore,$H \propto \frac{1}{R_{eq}}$. The ratio of heat produced in series $(H_s)$ to parallel $(H_p)$ is $\frac{H_s}{H_p} = \frac{R_p}{R_s} = \frac{R/2}{2R} = \frac{1}{4}$. Thus,the ratio is $1:4$.

Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is

Similar Questions

Consider the ladder network shown in the figure. What should be the value of resistance $R$ so that the effective resistance between $A$ and $B$ becomes independent of the number of elements in the combination? ............. $\Omega$

$A$ uniform wire has a resistance of $24 \Omega$. It is bent in the form of a circle. The effective resistance between the two points on any diameter of the circle is . . . . . . . (in $Omega$)

In the given circuit,the equivalent resistance between $A$ and $B$ is ....... $\Omega$.

Write the differences between series and parallel connections of resistors.

$A$ uniform conductor of resistance $R$ is cut into $20$ equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are joined in series,the effective resistance of all the pieces is

Vedclass Test Series

Exam Paper Generator

Online Exam Module