An electric current is passed through a circu | vedclass

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

Question

(B) For wires connected in parallel,the potential difference $V$ across each wire is the same.The current $i$ in a wire is given by $i = V/R$,where $R

Vedclass · Accepted Answer

$1/3$

Vedclass · Answer

(B) For wires connected in parallel,the potential difference $V$ across each wire is the same.The current $i$ in a wire is given by $i = V/R$,where $R$ is the resistance.Resistance $R$ is given by $R = ho \frac{l}{A} = ho \frac{l}{\pi r^2}$.Since the material is the same,the resistivity $ho$ is constant.Therefore,the ratio of currents is $\frac{i_1}{i_2} = \frac{R_2}{R_1} = \frac{l_2}{l_1} 	imes \left( \frac{r_1}{r_2} ight)^2$.Given $\frac{l_1}{l_2} = \frac{4}{3}$ and $\frac{r_1}{r_2} = \frac{2}{3}$.Substituting these values: $\frac{i_1}{i_2} = \frac{3}{4} 	imes \left( \frac{2}{3} ight)^2 = \frac{3}{4} 	imes \frac{4}{9} = \frac{1}{3}$.

An electric current is passed through a circuit containing two wires of the same material,connected in parallel. If the lengths and radii of the wires are in the ratio of $4/3$ and $2/3$ respectively,then the ratio of the currents passing through the wires will be:

Similar Questions

Two resistors of $6\,\Omega$ and $9\,\Omega$ are connected in series to a $120\,V$ source. The power consumed by the $6\,\Omega$ resistor is ........... $W$.

$A$ bulb with a rating of $4.5 \, W, 1.5 \, V$ is connected as shown in the figure. To make the bulb glow at full brightness,the $e.m.f.$ of the cell should be ................ $V$.

Two resistors of $100 \Omega$ each are connected in series with a $9 \text{ V}$ battery. $A$ voltmeter of $400 \Omega$ resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is . . . . . . $V$.

In the given electric circuit, the potential difference across $PQ$ is approximately ...... volts.

Consider the following circuit given below. The bulb will light up,if

Vedclass Test Series

Exam Paper Generator

Online Exam Module