Govt. Exams
Entrance Exams
Superposition theorem applies to linear networks and can be used to find voltage and current, but NOT power (since power is non-linear function).
Maximum power transfer theorem states that maximum power is transferred when load resistance equals the Thevenin equivalent resistance of the source (2Ω in this case).
In nodal analysis, we need (n-1) independent KCL equations for n nodes, where one node is taken as reference (ground). This follows from the fact that one equation is dependent on others.
Removing all independent sources leaves only passive elements (resistors), making the network passive with no energy supply capability.
Active elements (voltage/current sources) can supply power. Passive elements (R, L, C) can only dissipate or store energy.
Number of mesh current variables equals the number of independent meshes in the circuit. For 3 independent meshes, we have 3 mesh currents (I₁, I₂, I₃).
At Wheatstone bridge balance: R₁/R₂ = R₄/R₃ or R₁×R₃ = R₂×R₄. No current flows through galvanometer.
Rth is calculated by deactivating all independent sources (short voltage sources, open current sources) and finding equivalent resistance seen from load terminals.
Superposition theorem applies to linear networks with multiple independent sources. The response is the sum of individual source responses.
In nodal analysis, we need (n-1) independent equations where n is total number of nodes. One node is chosen as reference (ground) node.