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In the given circuit the current flowing through the resistance 20 ohms is 0.3 ampere while the ammeter reads 0.8 ampere. What is the value of $R_{1}$ ?

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60 ohms

30 ohms

40 ohms

50 ohms

answer is D.

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Detailed Solution

In $20 Ω \to v = 0 .3 \times 20 = 6 v volt$
$15 Ω \to i = \frac{V}{R} = \frac{6}{15} = 0 .4 A$

Current through $R_{1}$ is $= 0.8 - 0.3 - 0.4 = 0.1 A$

$R_{1} = \frac{V}{i_{1}} = \frac{6}{0.1} = 60 Ω$

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