Practicing Success
A battery of emf 10 V is connected to a group of resistances as shown in figure. The potential difference $V_A-V_B$ between the points A and B is |
-2 V 2 V 5 V $\frac{20}{11}$ V |
2 V |
Resistance between upper branch and lower branch in parallel part is same, so equal amount of current flows through them. Let main current is i. ∴ $\mathrm{i}=\frac{V}{R_{eq}}$ Equivalent resistance of circuit, $R_{\text {eq }}=3+2=5 \Omega \Rightarrow \mathrm{i}=\frac{10}{5}=2 A$ So, current in each branch $=1 A$ Now, $V_{C}-V_{A}=1 \times 1=1 V$ (i) also, $V_{C}-V_{B}=1 \times 3=3 V$ (ii) Solving eqs. (i) and (ii), we have $V_{A}-V_{B}=3-1=2 V$ |