How are a voltmeter and an ammeter connected in a circuit? Explain.

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(N/A) In a circuit, an ammeter is connected in $series$ with the load to measure the current flowing through it. This is because an ammeter has a very low resistance, and connecting it in series ensures that the entire current passes through it without significantly altering the circuit's characteristics.
Conversely, a voltmeter is connected in $parallel$ across the component whose potential difference is to be measured. This is because a voltmeter has a very high resistance, and connecting it in parallel ensures that only a negligible amount of current is diverted through it, allowing it to measure the potential difference accurately without affecting the circuit's operation.

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Derive the expression for the shunt resistance required to increase the current-measuring capacity of a galvanometer by a factor of $n$.

$A$ moving coil galvanometer has a rectangular wire coil of enclosed area $0.001 \ m^2$ and $500$ turns. The coil operates in a radial magnetic field of $0.2 \ T$ and carries a current of $6 \pi \times 10^{-8} \ A$. If the torsional spring constant is $6 \times 10^{-7} \ N-m/rad$,then the angular deflection of the coil in radians is

Which of the following statements is correct?

When a shunt of $4\,\Omega$ is attached to a galvanometer,the deflection reduces to $\frac{1}{5}$th of its initial value. If an additional shunt of $4\,\Omega$ is attached in parallel to the first,what will be the new deflection?

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$A$ moving coil galvanometer has $50$ turns and each turn has an area $2 \times 10^{-4} \ m^2$. The magnetic field produced by the magnet inside the galvanometer is $0.02 \ T$. The torsional constant of the suspension wire is $10^{-4} \ N \ m \ rad^{-1}$. When a current flows through the galvanometer,a full-scale deflection occurs if the coil rotates by $0.2 \ rad$. The resistance of the coil of the galvanometer is $50 \ \Omega$. This galvanometer is to be converted into an ammeter capable of measuring current in the range $0-1.0 \ A$. For this purpose,a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance,in ohms,is:

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