In given figure of wheatstone bridge , Resistances P and Q are approximately equal. When R=400Ω, the bridge is balanced. On interchanging P and Q , the value of R , for balance, is 405Ω . Choose the closest value of X from the following option:

Question

In given figure of wheatstone bridge , Resistances P and Q are approximately equal. When R=400Ω, the bridge is balanced. On interchanging P and Q , the value of R , for balance, is 405Ω . Choose the closest value of X from the following option: <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-hv5n7y7yunfbdoij.jpg" /> (A) 404.5ohm (B) 402.5ohm (C) 403.5ohm (D) 401.5ohm

Tardigrade Admin · Accepted Answer

Initially (P/Q)=(R1/x) After interchanging P and Q are (Q/P)=(R2/x) (2) From (.i.) and (.ii.) 1=(R1 R1/x2) x=√R , R2 =√400 × 405 =402.5Ω

Q. In given figure of wheatstone bridge , Resistances $P$ and $Q$ are approximately equal. When $R = 400Ω,$ the bridge is balanced. On interchanging $P$ and $Q$ , the value of $R$ , for balance, is $405Ω$ . Choose the closest value of $X$ from the following option :

$404.5 o hm$

$402.5 o hm$

$403.5 o hm$

$401.5 o hm$

Initially $\frac{P}{Q} = \frac{R _{1}}{x}$
After interchanging $P$ and $Q$ are $\frac{Q}{P} = \frac{R _{2}}{x}$ ____(2)
From $(i)$ and $(ii)$
$1 = \frac{R _{1} R _{1}}{x ^{2}}$
$x = R, R_{2}$
$= 400 \times 405$
$= 402.5Ω$

Q. In given figure of wheatstone bridge , Resistances P and Q are approximately equal. When R=400Ω, the bridge is balanced. On interchanging P and Q , the value of R , for balance, is 405Ω . Choose the closest value of X from the following option :

404.5ohm

402.5ohm

403.5ohm

401.5ohm