Question

What are Kirchhoff's two laws for the electrical circuit? Find out the reading of the ammeter with the help of the given circuit, while its resistance is negligible. 

Hint:

Use Kirchhoff's loop rule to calculate voltages and junction rule for current distribution.

Answer 1

Kirchhoff's First Law (KCL - Junction Rule):

The sum of currents entering a junction is equal to the sum of currents leaving the junction.

\[ \sum I_{\text{in}} = \sum I_{\text{out}} \]

Kirchhoff's Second Law (KVL - Loop Rule):

The sum of all voltages around any closed loop in a circuit is zero.

\[ \sum V = 0 \]

Solution for Ammeter Reading:

Applying Kirchhoff's loop rule to the given circuit:

\[ \frac{5}{4 + 2} = \frac{5}{6} \, \text{A} \]

The voltage across the parallel resistors is:

\[ V = IR = \frac{5}{6} \times 2 = \frac{10}{6} \text{ V} \]

Current through the 6Ω resistor:

\[ I = \frac{10}{6} \div 6 = \frac{5}{18} \, \text{A} \]

\( \text{Ammeter reading } = \frac{5}{18} \text{ A} \)