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A battery is composed of three cells connected in parallel each having an emf of 1.4 volt and respective internal resistance of 0.25, 0.20 and 0.10 ohms. The battery is supplying current to a load having a resistance of 1.5 ohms. The terminal voltage will be,?
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A battery is composed of three cells connected in parallel each having...
**Terminal Voltage of the Battery**

To find the terminal voltage of the battery, we need to consider the effects of the internal resistances of the cells and the load resistance.

**Calculating the Equivalent Internal Resistance of the Battery**

When the cells are connected in parallel, the total internal resistance of the battery can be calculated by taking the reciprocal of the sum of the reciprocals of the individual internal resistances.

1/Req = 1/R1 + 1/R2 + 1/R3

Given:
R1 = 0.25 ohms
R2 = 0.20 ohms
R3 = 0.10 ohms

1/Req = 1/0.25 + 1/0.20 + 1/0.10

Simplifying the expression,

1/Req = 4 + 5 + 10
1/Req = 19/0.01
1/Req = 100 ohms

Therefore, the equivalent internal resistance of the battery is 100 ohms.

**Calculating the Current through the Circuit**

To calculate the current through the circuit, we can use Ohm's Law.

V = IR

Where,
V is the voltage across the load resistor (terminal voltage of the battery),
I is the current flowing through the circuit, and
R is the resistance of the load.

Given:
V = ?
R = 1.5 ohms

We can rearrange the equation to solve for the current (I).

I = V/R

Substituting the given values,

I = V/1.5

**Calculating the Voltage across the Internal Resistance**

The voltage across the internal resistance of the battery can be calculated using Ohm's Law.

V_internal = I * Req

Where,
V_internal is the voltage across the internal resistance, and
Req is the equivalent internal resistance of the battery.

Given:
I = V/1.5
Req = 100 ohms

Substituting the values,

V_internal = (V/1.5) * 100

**Calculating the Terminal Voltage**

The terminal voltage of the battery can be calculated by subtracting the voltage across the internal resistance from the emf of the battery.

V_terminal = emf - V_internal

Given:
emf = 1.4 volts
V_internal = (V/1.5) * 100

Substituting the values,

V_terminal = 1.4 - [(V/1.5) * 100]

This equation gives the terminal voltage of the battery in terms of the current (I) and the load resistance (R). To find the exact value of the terminal voltage, we need to know the current flowing through the circuit and the resistance of the load.
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A battery is composed of three cells connected in parallel each having an emf of 1.4 volt and respective internal resistance of 0.25, 0.20 and 0.10 ohms. The battery is supplying current to a load having a resistance of 1.5 ohms. The terminal voltage will be,?
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