Final answer:
In a parallel circuit, the voltage across each resistor is the same. The total resistance of the circuit is not equal to the sum of the individual resistances. The total current flowing through the circuit is not equal to the sum of the currents flowing through each resistor.
Step-by-step explanation:
In a parallel circuit, option 3) The voltage across each resistor is the same, is true. This means that each resistor in the circuit will have the same potential difference or voltage applied to it. This is because in a parallel circuit, the current has multiple paths to flow through, and each path has the same voltage.
Option 1) The total resistance of the circuit is equal to the sum of the individual resistances, is not true. In a parallel circuit, the total resistance is calculated differently and is less than the lowest individual resistance.
Option 2) The total current flowing through the circuit is equal to the sum of the currents flowing through each resistor, is also not true. In a parallel circuit, the total current is equal to the sum of the currents through each individual resistor, as the current divides among the different paths.
Option 4) The power dissipated by each resistor is the same, is also not true. The power dissipated by each resistor depends on the current flowing through it and its individual resistance.