Question

A voltmeter of a very high resistance is joined in the circuit as shown in figure. The voltage shown by this voltmeter will be _________

• A. $6V$
• B. $5V$
• C. $2.5V$
• D. $3V$

Answer 1

The correct option is A $6V$

Both $8\Omega$ resistors are connected in parallel to each other.
Equivalent resistance of two $8\Omega$ resistors, $R^{\prime }=\frac{8\times 8}{8+8}=4\Omega$
This $4\Omega$ resistor is connected in series with $6\Omega$ resistor.
Equivalent resistance of circuit $R_{eq}=4+6=10\Omega$
Current flowing through $6\Omega$ resistor, $I=\frac{V}{R_{eq}}=\frac{10}{10}=1A$
Voltage across $6\Omega$ resistor, $V_6=1\times 6=6V$