Which of th following is true for a parallel circuit

B. The voltage is the same across all resistors in the circuit.

Explanation:

The answer choices are:

A. The current is the same across all resistors in the circuit. B. The voltage is the same across all resistors in the circuit. C. As more resistors are added, the current will decrease. D. The sum of the voltage drops will equal the total voltage.

Solution

In a simple parallel circuit, each component (resistor) is connected directly to the battery forming different branches or pathways to the current.

Thus, the ends of each resistor receives the total potential difference or voltage from the battery, which is what the statement B. asserts. Hence, statement B is true.

On the other hand, the current will split among the different pathways, following Ohm's law: the greater the resistance of the resistor the lower the current. Thus, the statement A is false.

For a parallel circuit, the total resistance decreases as more resistors are added, which means that, again following Ohm's law, the current will increase, contradicting the statement C. Thus, the statement C is false.

It is in the series circuit that 'the sum of the voltage drops will equal the total voltage"; in a parallel circuit the voltage drop is the just one and the same for each resistor. Thus, the statement D is false, too.