6v battery of internal resistance 0.5 ohm connected to there resistors of values 3 ohm, 4 ohm, 5 ohm.
Calculate the current in each resistor, the p.d across the 3 ohm resistor, and across the parallel resistor?
which is the parallel resistance?
To calculate the current in each resistor and the potential difference (p.d.) across the 3-ohm resistor and the parallel resistor, we can use Ohm's Law and Kirchhoff's Laws.
Step 1: Calculate the total resistance (R_total) of the circuit.
The total resistance is calculated by adding the resistances of the three resistors in series:
R_total = R1 + R2 + R3
= 3 ohm + 4 ohm + 5 ohm
= 12 ohm
Step 2: Calculate the current flowing in the circuit.
To calculate the total current (I_total), we can use Ohm's Law:
I_total = V / R_total,
where V is the voltage of the battery and R_total is the total resistance.
Given that the battery voltage (V) is 6V and the total resistance (R_total) is 12 ohm:
I_total = 6V / 12 ohm
= 0.5 A
Step 3: Calculate the current in each resistor.
Since the resistors are connected in series, the same current flows through each resistor.
Therefore, the current flowing through each resistor (I1, I2, I3) is equal to the total current (I_total), which is 0.5 A.
Step 4: Calculate the potential difference across the 3-ohm resistor.
Using Ohm's Law, we can calculate the p.d. across a resistor using the formula:
V = I * R,
where V is the potential difference, I is the current flowing through the resistor, and R is the resistance.
Using this formula, the p.d. across the 3-ohm resistor (V_3ohm) is:
V_3ohm = I * R
= 0.5 A * 3 ohm = 1.5 V
Step 5: Calculate the potential difference across the parallel resistor.
To calculate the p.d. across the parallel resistor, we need to determine the current flowing through it.
Since the resistors are connected in series, the total current flowing through the circuit is the same as the current flowing through the parallel resistor.
Therefore, the current flowing through the parallel resistor (I_parallel) is 0.5 A.
Using Ohm's Law, the p.d. across the parallel resistor (V_parallel) is:
V_parallel = I_parallel * R_parallel,
where V_parallel is the p.d., I_parallel is the current, and R_parallel is the resistance of the parallel resistor.
However, the value of the parallel resistor is not provided, so we cannot calculate the p.d. across it without the specific resistance value.
To summarize:
- The current in each resistor (I1, I2, I3) is 0.5 A.
- The potential difference across the 3-ohm resistor is 1.5 V.
- The p.d. across the parallel resistor cannot be calculated without its specific resistance value.