What effect does increasing resistance have on a circuit while maintaining a constant voltage according to Ohm's law?

What effect does increasing resistance have on a circuit while maintaining a constant voltage according to Ohm's law?

• A. Current increases
• B. Current remains constant
• C. Current decreases
• D. Voltage decreases

Answer: (C)

According to Ohm's law, which is expressed as \( V = I \times R \) (where \( V \) is voltage, \( I \) is current, and \( R \) is resistance), maintaining a constant voltage while increasing resistance will lead to a decrease in current. When resistance is increased, the equation can be rearranged to find current: \( I = \frac{V}{R} \). As resistance \( R \) increases and voltage \( V \) stays the same, the value of \( \frac{V}{R} \) becomes smaller. This means that the current \( I \) is inversely proportional to resistance when voltage is constant. Thus, an increase in resistance will result in a lower current flowing through the circuit. This aligns perfectly with the principles of Ohm's law, reinforcing the understanding that for a fixed voltage source, as resistance increases, the current must decrease.

According to Ohm's law, which is expressed as ( V = I \times R ) (where ( V ) is voltage, ( I ) is current, and ( R ) is resistance), maintaining a constant voltage while increasing resistance will lead to a decrease in current.

When resistance is increased, the equation can be rearranged to find current: ( I = \frac{V}{R} ). As resistance ( R ) increases and voltage ( V ) stays the same, the value of ( \frac{V}{R} ) becomes smaller. This means that the current ( I ) is inversely proportional to resistance when voltage is constant. Thus, an increase in resistance will result in a lower current flowing through the circuit.

This aligns perfectly with the principles of Ohm's law, reinforcing the understanding that for a fixed voltage source, as resistance increases, the current must decrease.