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JEE PYQ: Current Electricity Question 65

Question 65 - 2019 (10 Jan 2019 Shift 2)

The Wheatstone bridge shown in Fig. here, gets balanced when the carbon resistor used as $R_1$ has the colour code (Orange, Red, Brown). The resistors $R_2$ and $R_4$ are $80,\Omega$ and $40,\Omega$, respectively. Assuming that the colour code for the carbon resistors gives their accurate values, the colour code for the carbon resistor, used as $R_3$, would be:

(1) Brown, Blue, Brown

(2) Brown, Blue, Black

(3) Red, Green, Brown

(4) Grey, Black, Brown

Show Answer

Answer: (1)

Solution

Orange, Red, Brown: $R_1 = 32 \times 10 = 320,\Omega$. For balanced bridge: $\frac{R_1}{R_2} = \frac{R_3}{R_4}$, $\frac{320}{80} = \frac{R_3}{40}$. $R_3 = 160,\Omega$. Brown(1), Blue(6), Brown($\times 10$): $= 160,\Omega$.


Learning Progress: Step 65 of 76 in this series