A battery of em.f 12v and internal resistance r =1.5ohms is connected to an external resistance of 3ohm calculate the terminal voltage of the battery
To calculate the terminal voltage of the battery, we can use the formula:
V_terminal = V_emf - I*R_internal
where V_emf is the emf of the battery, I is the current flowing through the circuit, and R_internal is the internal resistance of the battery.
First, we need to calculate the current flowing through the circuit. Using Ohm's law:
I = V_external / R_total
where V_external is the voltage across the external resistor and R_total is the total resistance of the circuit, which is the sum of the external resistance and the internal resistance:
R_total = R_external + R_internal = 3 ohm + 1.5 ohm = 4.5 ohm
So, I = V_external / R_total = 12V / 4.5 ohm = 2.67 A
Now, we can calculate the terminal voltage using the formula:
V_terminal = V_emf - I*R_internal
V_terminal = 12V - 2.67 A * 1.5 ohm = 7.995 V
Therefore, the terminal voltage of the battery is 7.995 V.
To calculate the terminal voltage of the battery, we need to use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the total resistance (R), given by the equation:
I = V / R
In this case, the voltage of the battery is 12V and the internal resistance is 1.5 ohms. The external resistance is given as 3 ohms. We need to calculate the terminal voltage, which is the voltage across the external resistance.
First, let's calculate the current flowing through the circuit:
I = V / (R_internal + R_external)
= 12V / (1.5 ohms + 3 ohms)
= 12V / 4.5 ohms
= 2.6667 A (rounded to four decimal places)
Next, we can calculate the voltage across the external resistance using Ohm's Law:
V_external = I * R_external
= 2.6667 A * 3 ohms
= 8 volts
Therefore, the terminal voltage of the battery is 8 volts.