In a parallel combination of resistances:A) P.d. is same across each resistanceB) Total resistance is increasedC) Current is the same in each resistanceD) All above are true

In a parallel combination of resistances:

A) P.d. is same across each resistance - True. In a parallel circuit, the voltage (potential difference or P.d.) across each resistor is the same. This is because all components in a parallel circuit are connected across the same two points (the same two nodes), so they experience the same voltage.

B) Total resistance is increased - False. In a parallel combination of resistances, the total resistance decreases compared to the resistance of the individual resistors. This is one of the defining characteristics of parallel circuits. The formula for calculating the total resistance in a parallel circuit is:

1/R_total = 1/R₁ + 1/R₂ + 1/R₃ + ...

C) Current is the same in each resistance - False. In a parallel circuit, the voltage is the same across each resistor, but the current can be different in each resistor. The current is divided among the parallel branches, and the current through each branch depends on the resistance of that branch according to Ohm's law (I = V/R).

D) All above are true - False. Based on the explanations above, only statement A is true. Statements B and C are false.