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TS EAMCET · Physics · Current Electricity

The potential difference \(V\) across the filament of the bulb shown in the given Wheatstone bridge varies as \(V=i(2 i+1)\), where ' \(t\) ' is the current in ampere through the filament of the bulb. The emf of the battery \(\left(V_{\mathrm{a}}\right)\) so that the bridge becomes balanced is

  1. A 10 V
  2. B 15 V
  3. C 18 V
  4. D 25 V
Verified Solution

Answer & Solution

Correct Answer

(C) 18 V

Step-by-step Solution

Detailed explanation

Condition for wheatstone: \(\frac{R_1}{R_2}=\frac{R_4}{R_3}\) \(\begin{aligned} & =\frac{4}{B}=\frac{8}{12} \\ B & =\frac{4 \times 12}{8} \\ \therefore R_{B} & =6 \Omega \end{aligned}\) Using Ohm's Law: And,…
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