Internal resitance and electromotive force

In summary, a complete circuit with a 12.0 V battery, 4.50 ohm resistor, and switch has an internal resistance of 0.30 ohms when the switch is open. When the voltmeter is placed across the terminal of the battery, it reads the open circuit voltage of 12.0 V. When placed across the resistor, it reads 0 V. When the switch is closed, the voltmeter reads 11.7 V across the battery terminal and 1.2 V across the resistor. In a separate scenario, with switch S open, the voltmeter reads 2.0 V and when closed, it reads 1.50 V and the ammeter reads 1
  • #1
hysteria
2
0

Homework Statement



1) a complete circuit consists of a 12.0 V battery with a 4.50 ohm resistor and switch. the internal resistance of the battery is 0.30 ohms when switch is open. what does the voltmeter read when placed:

a. across the terminal of the battery when the switch is open
b. across the resistor when the switch is open
c. across the terminal of the battery when the switch is closed
d. across the resistor when the switch is closed

2) when the switch S is open, the voltmeter V reads 2.0 V. when the switch is closed, the voltmeter reading drops to 1.50 V and the ammeter reads 1.20 A. find the emf (electromotive force) and the internal resistance of the battery. assume that the two meters are ideal so they don't affect the circuit.


Homework Equations


Terminal Potential Difference= -Ir+ electromotive force
Terminal Potential Diff= IR
emf=W/q


The Attempt at a Solution


@1 would it be Terminal Voltage= IR? but i kinda don;t know how to apply it with the voltmeter placed in different places.
 
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  • #2
Just do it the same way as the first one. You can treat the internal resistance as a separate resistor.
 
  • #3
In each case, you have the following arrangement (all in series)...

Battery positive voltage...internal resistance...switch...load resistor...battery negative.

Bearing in mind that there is no voltage across a resistor if there is no current flowing through it, what would be the open circuit voltage of the battery in each case?

Now, close the switch and consider there are just two resistors (internal resistance and load resistance) in series across the EMF of the battery. The total current would just depend on the total resistance, so what would be the voltage across each resistor?
 

FAQ: Internal resitance and electromotive force

1. What is internal resistance?

Internal resistance refers to the resistance within a battery or any other electrical source. It is caused by the flow of current through the electrolyte and the materials used in the construction of the battery. It is measured in ohms and can affect the performance and output of the battery.

2. What is electromotive force (EMF)?

Electromotive force, also known as EMF, is the energy per unit charge supplied by an electrical source, such as a battery. It is measured in volts and represents the potential difference between the positive and negative terminals of the source.

3. How does internal resistance affect the performance of a battery?

Internal resistance can affect the performance of a battery by causing a drop in voltage and reducing the available energy. This results in a decrease in the battery's output and can also cause the battery to heat up, which can further decrease its efficiency.

4. Can internal resistance be reduced?

While internal resistance is an inherent property of a battery, it can be reduced by using materials with lower resistance in the construction of the battery. Additionally, using larger battery cells and connecting them in parallel can also help reduce internal resistance.

5. What is the relationship between internal resistance and electromotive force?

The internal resistance and electromotive force of a battery have an inverse relationship. This means that as the internal resistance increases, the electromotive force decreases. This is because the internal resistance causes a drop in voltage, which results in a decrease in the EMF.

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