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Using Kirchhoffs rules in the given circ...

Using Kirchhoffs rules in the given circuit, determine (i) the voltage drop across the unknown resistor R and (ii) current I in the arm EF.

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Taking upper portion as mesh using Kirchhoffs second law portion

`1 xx 2 -I xx 3 = 3 -5`
or ` 2 - 3 I =-2`
or ` 3 I =4`
or `I = 4/3 A`
So total current through R,
` I . =1 + 4/3 + 7/5 A`
`therefore` VOltage drop across R,
`5-3 xx 4/3 =1` Volt.
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