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ICSE Class 10 Physics 2013 Paper

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The figure shows a circuit
When the circuit is switched on, the ammeter reads 0.5A0.5 A.
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Question : 61 of 70
Marks: +1, -0
Calculate the value of the unknown resistor RR.
Solution:  
Let
Electric current (I)= Total voltage diff. (V) Total resistance (R)(I)=\frac{ \text{ Total voltage diff. } (V) }{ \text{ Total resistance } (R) }
0⋅5=63+R0 \cdot 5 = \frac{6}{3 + R}
R+3=605R + 3 = \frac{60}{5}
R=12−3R = 12 - 3
R=9ΩR = 9 \Omega
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