Current Electricity - Result Question 33

35. In the circuit shown in Fig, the current in $4 \Omega$ resistance is $1.2 A$. What is the potential difference between $B$ and $C$.

[1994]

(a) 3.6 volt

(b) 6.3 volt

(c) 1.8 volt

(d) 2.4 volt

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Answer:

Correct Answer: 35. (a)

Solution:

  1. (a) The potential difference across $4 \Omega$ resistance is given by

$V=4 \times i_1=4 \times 1.2=4.8 volt$

So, the potential across $8 \Omega$ resistance is also 4.8 volt.

Current $i_2=\frac{V}{8}=\frac{4.8}{8}=0.6 amp$

Current in $2 \Omega$ resistance $i=i_1+i_2$

$\therefore i=1.2+0.6=1.8 amp$

Potential difference across $2 \Omega$ resistance $V _{B C}=1.8 \times 2=3.6$ volts