Question

Consider the following two statements. (A) Kirchhoff's junction law follows from the conservation of charge. (B) Kirchhoff's loop law follows from the conservation of energy. Which of the following is correct?

• A. Both (A) and (B) are wrong
• B. (A) is correct and (B) is wrong
• C. (A) is wrong and (B) is correct
• D. Both (A) and (B) are correct

Answer 1

The Correct Option is D

According to Kirchhoff's Junction Law, the total charge across the junction stays conserved since the total current entering the junction is equal to the total current exiting the junction.

The directed sum of electrical potential differences (voltage) around any closed network is zero, according to Kirchhoff's loop rule, and the sum of EMFs in any closed loop is equal to the sum of potential drops in that loop.

To comprehend the idea of current and energy conservation in an electrical circuit, apply Kirchhoff's Laws.

Kirchhoff's laws of electrical circuits, often known as Kirchhoff's Voltage and Current Law, are the names given to these two rules.

• Any complicated AC circuit's electrical resistance and impedance may be analyzed and determined using Kirchhoff's rules of electrical circuits.
• Kirchhoff's First Law is an alternative name for Kirchhoff's Current Law.
• Kirchhoff's first law states that in an electrical circuit, the total current within a junction is equal to the total current outside the junction.
• Kirchhoff's Second Law is another name for Kirchhoff's Voltage Law.
• Kirchhoff's loop rule states that the sum of the voltages around a closed loop equals zero.

Kirchhoff’s Current Law states that the sum of current that enters a junction in an electric circuit is equal to the charge leaving the node as no charge is lost.

1. In Figure A, the sum is i₁ + i₂ = i₃
2. In Figure B, i₁ = i₂ + i₃ + i₄
3. In Figure C, i₁ + i₂ + i₃ = 0. 

Kirchhoff’s Voltage Law states that the voltage in a loop is equal to the sum of each voltage drop in the loop for a closed network and it equals zero.

1. The circuit's representation of the potential difference V_b - V_a is E₁. In other words, V_b - V_a = E₁. 
2. The potential difference V_c - V_d is similarly denoted by the symbol -E₂, that is, V_c - V_d = - E₂.
3. V_b - V_c = iR₁, and V_d - V_a = iR₂, according to Ohm's law.
4. The loop equation becomes E₁ - E₂ - iR₁ - iR₂ = 0 when these four relationships are included in the equation.
5. The value of the current I in the circuit is determined by converting the resistance values R₁ and R₂ to ohms and the EMF values E₁ and E₂ to volts.

The answer to the present I problem would be a negative value if E₂ > E₁. The current flows in the opposite direction from that which is represented by the positive sign.