For the given circuit,the equivalent resistan | vedclass

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

Question

(C) The circuit is a Wheatstone bridge. Let the resistors be $R_1 = 3\, \Omega$,$R_2 = 4\, \Omega$,$R_3 = 6\, \Omega$,and $R_4 = 8\, \Omega$. The cent

Vedclass · Accepted Answer

$14/3\, \Omega$

Vedclass · Answer

(C) The circuit is a Wheatstone bridge. Let the resistors be $R_1 = 3\, \Omega$,$R_2 = 4\, \Omega$,$R_3 = 6\, \Omega$,and $R_4 = 8\, \Omega$. The central resistor is $R_5 = 7\, \Omega$.Check the ratio of the arms: $R_1/R_3 = 3/6 = 1/2$ and $R_2/R_4 = 4/8 = 1/2$.Since $R_1/R_3 = R_2/R_4$,the bridge is balanced. Therefore,no current flows through the $7\, \Omega$ resistor.The circuit simplifies to two parallel branches: the upper branch with $3\, \Omega$ and $4\, \Omega$ in series $(3+4 = 7\, \Omega)$ and the lower branch with $6\, \Omega$ and $8\, \Omega$ in series $(6+8 = 14\, \Omega)$.The equivalent resistance $R_{eq}$ is given by $1/R_{eq} = 1/7 + 1/14 = (2+1)/14 = 3/14$.Thus,$R_{eq} = 14/3\, \Omega$.

For the given circuit,the equivalent resistance between $A$ and $B$ is:

Similar Questions

If the Wheatstone bridge shown in the figure is balanced,then the values of $R_1$ and $R_2$ are ...... $\Omega$ and ...... $\Omega$ respectively.

In the given figure,all the batteries are ideal. Find the value of $i$ (in amperes).

The value of the resistance $R$ in the figure is .......... $\Omega$.

The total length of the potentiometer wire $AB$ is $50 \text{ cm}$ in the arrangement as shown in the figure. If $P$ is the point where the galvanometer shows zero reading, then the length $AP$ is . . . . . . $\text{ cm}$.

In the following figure, the current $I$ is equal to: (in $\text{ A}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module