Current Electricity MCQs for NEET — Physics Questions with Answers

According to the NCERT text, for a parallel combination of n cells, the equivalent internal resistance is given by ' $1/r_{eq} = 1/r_1 + ... + 1/r_n$' (Eq. 3.58).

Using the extended formula for parallel combination (Eq. 3.59): $\epsilon_{eq}/r_{eq} = \epsilon_1/r_1 + ... + \epsilon_n/r_n$. If all cells are identical ($\epsilon_1 = ... = \epsilon = \epsilon$) and ($r_1 = ... = r_n = r$), then $1/r_{eq} = n/r$, so $r_{eq} = r/n$. Substituting back: $\epsilon_{eq}/(r/n) = n(\epsilon/r) \Rightarrow \epsilon_{eq} = (r/n) \times n(\epsilon/r) = \epsilon$. Thus, for identical cells in parallel, the equivalent emf is equal to the emf of a single cell.

The NCERT text states: 'V = $\epsilon - Ir$' (Eq. 3.38). This equation represents the terminal voltage of a cell when current I is flowing. The term 'Ir' is the potential drop across the internal resistance (r) of the cell, and it subtracts from the electromotive force ($\epsilon$) to give the actual potential difference available at the terminals.

The NCERT text states: 'Thus, emf $\epsilon$ is the potential difference between the positive and negative electrodes in an open circuit, i.e., when no current is flowing through the cell.' (after Eq. 3.37). In an open circuit, the external resistance R is infinite, so no current flows.

The NCERT text clarifies: 'If in the combination, the current leaves any cell from the negative electrode, the emf of the cell enters the expression for e_eq with a negative sign, as in Eq. (3.47).' This signifies that the cell is connected in opposition, effectively reducing the overall emf.

From Eq. 3.54 in the NCERT text: '$e_{eq} = (\epsilon_1 r_2 + \epsilon_2 r_1) / (r_1 + r_2)$'. This formula is derived by comparing the terminal voltage expression for the combination with that of a single equivalent cell.

The NCERT text states: 'In practical calculations, internal resistances of cells in the circuit may be neglected when the current I is such that $\epsilon >> Ir$.' This means if the voltage drop across the internal resistance is very small compared to the emf, the internal resistance has a minimal effect on the terminal voltage.

The NCERT text states: 'If the negative terminal of the second is connected to positive terminal of the first, Eqs. (3.56) and (3.57) would still be valid with $\epsilon_2 \rightarrow -\epsilon_2$.' This indicates that one cell is acting in opposition to the other, which is accounted for by changing the sign of its emf in the parallel combination formulas.

No deflection in $G$ means no current through it, so voltage across $R$ equals the 2 V cell EMF. Current in the outer loop = $(10-2)/400 = 0.02\ \text{A}$, hence $R = 2/0.02 = 100\ \Omega$.

$22000 = 22 \times 10^3$. First two bands red, red (2,2); third band (multiplier $10^3$) is orange.