If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
Practice Questions
1 question
Q1
If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
3 A
2 A
1 A
4 A
Using Ohm's law, I = V/R, for the 4 ohm resistor, I = 12V / 4 ohms = 3 A.
Questions & Step-by-step Solutions
1 item
Q
Q: If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
Solution: Using Ohm's law, I = V/R, for the 4 ohm resistor, I = 12V / 4 ohms = 3 A.
Steps: 6
Step 1: Identify the values given in the problem. We have a 4 ohm resistor, a 6 ohm resistor, and a 12V battery.
Step 2: Understand that the resistors are connected in parallel. This means the voltage across each resistor is the same as the battery voltage, which is 12V.
Step 3: Use Ohm's law to find the current through the 4 ohm resistor. Ohm's law states that I = V / R, where I is the current, V is the voltage, and R is the resistance.
Step 4: Substitute the values into the formula for the 4 ohm resistor. Here, V = 12V and R = 4 ohms.
Step 5: Calculate the current: I = 12V / 4 ohms = 3 A.
Step 6: Conclude that the current through the 4 ohm resistor is 3 A.
