Ohm my, what a shocking question! Let me help you with some electrifying answers.
To calculate the current in each resistor, we first need to calculate the total resistance of the circuit. Since the resistors 4 ohm and 5 ohm are in parallel, we can calculate their combined resistance using the formula:
1/Total Resistance = 1/4 ohm + 1/5 ohm
1/Total Resistance = 9/20 ohm
Total Resistance = 20/9 ohm
Now, let's calculate the total current using Ohm's Law: Current = Voltage / Resistance
Total Current = 6 volts / (0.5 ohm + (20/9) ohm + 3 ohm)
Total Current = 6 volts / (0.5 ohm + 20/9 ohm + 3 ohm)
Total Current = 6 volts / (1/2 ohm + 20/9 ohm + 3 ohm)
Total Current = 6 volts / (45/18 ohm + 40/18 ohm + 54/18 ohm)
Total Current = 6 volts / (139/18 ohm)
Now, to find the current in each resistor, we can use the formula:
Current in each resistor = Total Current * (Resistance of each resistor / Total Resistance)
Current in the 3 ohm resistor = Total Current * (3 ohm / 20/9 ohm)
Current in the 4 ohm and 5 ohm resistors = Total Current * [(4 ohm + 5 ohm) / 20/9 ohm]
Now go ahead and calculate those currents. Just be careful not to get too zapped by the answers!