During the school exhibition, Vinita and Ahmed demonstrated a circuit designed to run a car’s two headlights and two sidelights.
Use the demonstrated circuit to answer the upcoming questions.
1. State what happens when switch A is connected to
i . Position 2
ii . Position 3
i . Position 2
ii . Position 3
i. When switch \(A\) is connected to position \(2\) only \(\Omega\) resistance will light up.
ii. When switch \(A\) is connected to position \(3\) only \(\Omega\) resistance will light up.
2. Find the potential difference across each lamp when lit.
In given circuit remains same throughout the circuit as they are connected in .
So all the lamp will have \(V\).
3. Calculate the current:
i. In each \(12\ Ω\) lamp when lit.
ii. In each \(4\ Ω\) lamp when lit.
i. In each \(12\ Ω\) lamp when lit.
ii. In each \(4\ Ω\) lamp when lit.
The current is given by
i. The current through \(12\ \Omega\) resistance is \(A\).
ii. The current through \(4\ \Omega\) resistance is \(A\).
4. Show, with calculations, which type of lamp, \(4.0\ Ω\) or \(12\ Ω\) has the higher power.
The power is given by
The Power of \(4\ \Omega\) lamp is \(W\) and \(12\ \Omega\) lamp is \(W\).
Hence \(\Omega\) has higher power.