Question

the voltage in a circuit is increased while the resistance e remains the same. select all correct answers.
a. the electrical energy in the circuit increases
b. the electrical energy in the circuit decreases
c. the current in the circuit increases.
d. the current in the circuit decreases
e. the energy that can be output by the circuit increases.
f. the energy that can be output by the circuit decreases.

Explanation:

1. Recall Ohm's Law: \( I=\frac{V}{R} \). When \( V \) (voltage) increases and \( R \) (resistance) is constant, \( I \) (current) increases. So option c is correct, d is incorrect.
2. Electrical energy formula: \( E = VIt=\frac{V^{2}t}{R} \) (since \( I = \frac{V}{R} \)). With \( V \) increasing, \( R \) constant, and time \( t \) (assuming same time or circuit operation context), energy \( E \) increases. So option a is correct, b is incorrect.
3. The energy the circuit can output is related to electrical energy. Since electrical energy increases, the output - able energy also increases. So option e is correct, f is incorrect.

Answer:

a. The electrical energy in the circuit increases
c. The current in the circuit increases.
e. The energy that can be output by the circuit increases.