So, if Jimmy adds a resistor in parallel to a circuit with two other resistors

In summary, adding a resistor in parallel to a circuit with two other resistors decreases the overall resistance of the circuit and increases the total current. The voltage across each resistor remains the same and the total power dissipated in the circuit increases. While there is technically no limit to the number of resistors that can be added in parallel, it is important to carefully design the circuit to handle the added resistors and prevent overheating.
  • #1
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So, if Jimmy adds a resistor in parallel to a circuit with two other resistors...

Homework Statement



wouldn't the resistance decrease?

Homework Equations





The Attempt at a Solution

 
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  • #2
Uh, yes? But why do you think so?
 
  • #3


Yes, adding a resistor in parallel to a circuit with two other resistors would decrease the overall resistance of the circuit. This is because resistors in parallel have an inverse relationship, meaning that as more resistors are added in parallel, the overall resistance decreases. This is due to the fact that there are multiple paths for the current to flow, allowing for less resistance overall. This concept is important in circuit design and can be used to adjust the overall resistance of a circuit to achieve desired results.
 

FAQ: So, if Jimmy adds a resistor in parallel to a circuit with two other resistors

What is the purpose of adding a resistor in parallel to a circuit with two other resistors?

The purpose of adding a resistor in parallel to a circuit with two other resistors is to decrease the overall resistance of the circuit. This is because resistors in parallel have an equivalent resistance that is less than the smallest individual resistor in the circuit.

How does adding a resistor in parallel affect the current in the circuit?

Adding a resistor in parallel to a circuit with two other resistors will increase the total current in the circuit. This is because the equivalent resistance decreases, causing the total current to increase according to Ohm's Law (I = V/R).

Will the voltage across each resistor change when a resistor is added in parallel?

No, the voltage across each resistor will remain the same when a resistor is added in parallel. This is because the voltage in a parallel circuit is constant, and adding a resistor in parallel does not change the overall voltage of the circuit.

What happens to the total power dissipated in the circuit when a resistor is added in parallel?

The total power dissipated in the circuit will increase when a resistor is added in parallel. This is because the total current in the circuit increases, causing more power to be dissipated through the resistors according to the formula P = I^2*R.

Is there a limit to the number of resistors that can be added in parallel to a circuit?

Technically, there is no limit to the number of resistors that can be added in parallel to a circuit. However, as more resistors are added, the equivalent resistance of the circuit decreases, causing the total current to increase and potentially causing other components to overheat. Therefore, it is important to carefully calculate and design the circuit to ensure it can handle the added resistors.

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