Question

In the circuits shown below, the readings of the voltmeters and the ammeters will be .
(1) V₂ > V₁ तथा i₁ = i₂
(2) V₁ = V₂ तथा i₁ > i₂
(3) V₁= V₂ तथा i₁ = i₂
(4) V₂ > V₁ तथा i₁ > i₂

Answer 1

The readings of the voltmeters and the ammeters will be $\bold{V_{1}=V_{2}and\,i_{1}=i_{2}}$ for given circuit.

Step by step explanation:

• Voltmeter can be used to measure the voltage in the circuit and it must be connected in a parallel position.
• Resistance of voltmeter = ∞
• Ammeter can be used to measure the current in the electric circuit.
• Resistance of ammeter = 0

           $\bold{\frac{1}{R_{eq}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}}$....................(1)

           $\frac{1}{R_{1}}=\frac{1}{10}$ and $\frac{1}{R_{2}}=\frac{1}{\infty }$.

Substitute the values in the equation (1)

            $\frac{1}{R_{eq}}=\frac{1}{10}+\frac{1}{\infty }$

                  $\Rightarrow \frac{1}{10}+0$

                 $\Rightarrow 10$

In first circuit:

              $i_{1}=\frac{V}{R}$

                 $\Rightarrow \frac{10}{10}=1A$

              $V_{1}=10$

In second circuit:

           $\frac{1}{R_{eq}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}$

                 $\Rightarrow \frac{1}{10}+\frac{1}{10+\infty }$

                 $\Rightarrow \frac{1}{10}+0$

                 $\Rightarrow 10$

             $i_{2}=\frac{1-10}{10}$

                  $\Rightarrow 1A$

              $V_{2}=10V$

Therefore, The readings of the voltmeters and the ammeters will be $\bold{V_{1}=V_{2}and\,i_{1}=i_{2}}$ for given circuit.

Hence, Correct answer -3

Answer 2

Explanation:

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