Question
A 10-volt power supply is placed in series with two 5-ohm resistors. What is the current in the circuit after it passes through each of the two resistors?(1 point)
Responses
The current will stay the same at 2 amps after passing through both resistors.
The current will stay the same at 2 amps after passing through both resistors.
The current will stay the same at 1 amp after passing through both resistors.
The current will stay the same at 1 amp after passing through both resistors.
The current will drop to 2 amps after the first resistor and then to 1 amp after the second resistor.
The current will drop to 2 amps after the first resistor and then to 1 amp after the second resistor.
The current will drop to 1 amp after the first resistor and then to 0 amps after the second resistor.
Responses
The current will stay the same at 2 amps after passing through both resistors.
The current will stay the same at 2 amps after passing through both resistors.
The current will stay the same at 1 amp after passing through both resistors.
The current will stay the same at 1 amp after passing through both resistors.
The current will drop to 2 amps after the first resistor and then to 1 amp after the second resistor.
The current will drop to 2 amps after the first resistor and then to 1 amp after the second resistor.
The current will drop to 1 amp after the first resistor and then to 0 amps after the second resistor.
Answers
GPT-4o mini
To determine the current in the circuit, we can start by calculating the total resistance and then use Ohm's Law.
1. The two resistors, each 5 ohms, are in series. The total resistance (R_total) is given by:
\[
R_{\text{total}} = R_1 + R_2 = 5\, \Omega + 5\, \Omega = 10\, \Omega
\]
2. We know the voltage of the power supply (V) is 10 volts. According to Ohm's Law, current (I) can be calculated as:
\[
I = \frac{V}{R_{\text{total}}}
\]
Substituting the values:
\[
I = \frac{10\, \text{volts}}{10\, \Omega} = 1\, \text{amp}
\]
Since the resistors are in series, the current will remain the same throughout the circuit. Thus, the current after passing through each of the resistors is **1 amp**.
The correct response is: **The current will stay the same at 1 amp after passing through both resistors.**
1. The two resistors, each 5 ohms, are in series. The total resistance (R_total) is given by:
\[
R_{\text{total}} = R_1 + R_2 = 5\, \Omega + 5\, \Omega = 10\, \Omega
\]
2. We know the voltage of the power supply (V) is 10 volts. According to Ohm's Law, current (I) can be calculated as:
\[
I = \frac{V}{R_{\text{total}}}
\]
Substituting the values:
\[
I = \frac{10\, \text{volts}}{10\, \Omega} = 1\, \text{amp}
\]
Since the resistors are in series, the current will remain the same throughout the circuit. Thus, the current after passing through each of the resistors is **1 amp**.
The correct response is: **The current will stay the same at 1 amp after passing through both resistors.**