What is the effect of connecting additional resistors in parallel on the overall circuit current?

Connecting additional resistors in parallel will indeed increase the overall current in the circuit. This occurs because adding resistors in parallel decreases the total resistance of the circuit.

In a parallel circuit, the voltage across each resistor remains the same, but adding more pathways for the current to flow means that the overall resistance decreases. According to Ohm's Law (I = V/R), when the resistance (R) decreases while keeping the voltage (V) constant, the overall current (I) through the circuit must increase. More current flows through the circuit since the electrical energy can take multiple pathways created by the added resistors.

This contrasts with other scenarios; for instance, if you were to connect resistors in series, the total resistance would increase, leading to a decrease in overall current under the same voltage conditions. Thus, connecting resistors in parallel has a clear and quantifiable effect on increasing the total current in the circuit.