Join 60,000+ competitive exam aspirants
In an electrical circuit, the sum of EMFs of all the sources met on the way plus the voltage drops in the resistances must be zero. This can be explained by ____.
Ohm’s law
Kirchhoff’s current law
Kirchhoff’s voltage law
Laplace’s law
Kirchhoff’s voltage law
Kirchhoff's Voltage Law (KVL) states that the algebraic sum of all potentials around any closed loop in a circuit is zero. This is a direct consequence of the Law of Conservation of Energy, ensuring that no energy is created or destroyed as charges traverse the closed path.
Kirchhoff's Voltage Law (KVL) states that the algebraic sum of all potentials around any closed loop in a circuit is zero. This is a direct consequence of the Law of Conservation of Energy, ensuring that no energy is created or destroyed as charges traverse the closed path.
∑k=1nVk=0 — where Vk represents the potential difference of the k-th element in a loop.
∑E=∑IR — which equates the sum of EMFs to the sum of voltage drops across resistive elements.
KVL is based on the principle that the electrostatic field is conservative. When a charge completes a full cycle around a closed loop, the work done on it by the sources (EMFs) must equal the work dissipated by the passive elements (resistances) in the form of heat, leading to a net potential change of zero.
KVL is applicable to both DC and AC circuits.
It is derived from the principle of Conservation of Energy.
It assumes no magnetic field variation within the loop (quasi-static approximation).
Systematic method for circuit analysis.
Essential for solving complex mesh networks.
Can be computationally intensive for circuits with a very large number of meshes.
Requires careful sign convention handling.
Mesh analysis of electrical networks.
Determining unknown currents and voltages in multi-loop circuits.
Ohm's law relates voltage, current, and resistance in a single component.
Kirchhoff's Current Law (KCL) is based on the Conservation of Charge at a node.
Laplace's law describes pressure differences across curved surfaces, irrelevant to electrical circuit topology.
C is correct — The described principle is the formal definition of Kirchhoff's Voltage Law (KVL).
Always remember that KVL is linked to Energy Conservation, while KCL is linked to Charge Conservation.