Resistors in series and parallel

In summary, when the 3 ohm resistor breaks in the circuit with a 6 ohm resistor in parallel and a 4 ohm resistor in series, the power dissipated in the circuit will increase and the current provided by the battery will decrease. The current in the 6 ohm resistor may also increase as it is no longer connected in parallel with anything else. This is due to the fact that current flows in an incompressible manner and will not split into two paths after leaving the 4 ohm resistor.
  • #1
thisisfudd
56
0
A 3 ohm resistor is connected in parallel with a 6 ohm resistor. This pair is then connected in series with a 4 ohm resistor. These resistors are connected to a battery. What will happen if the 3 ohm resistor breaks?

I think that the power dissipated in the circuit will increase.

The other choices are that the current in the 4 ohm resistor will drop to 0, that the current in the 6 ohm resistor will increase and that the current provided by the battery will not change.

I think I am right because the 4 ohm is connected to two parallels, it will therefore not change. Is this reasonable?
 
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  • #2
both answers are wrong... and not reasonable...
draw the graph first, and "see" what's going on...
imagine current is an incompressible fliud in water pipe
 
  • #3
OK, so the current provided by the battery will change: it will decrease. I think the current in the 6 ohm resistor might increase because it is no longer connected in parallel to anything else. Is this correct?
 
  • #4
I am thinking the same thing too
Becuase current does not split into two ways any longer after it left the 4 ohms resistor, so the current would increase
 

1. What is the difference between resistors in series and resistors in parallel?

Resistors in series are connected one after the other in a single loop, while resistors in parallel are connected side by side in multiple branches. In series, the total resistance is the sum of all individual resistances, while in parallel, the total resistance is less than the smallest individual resistance.

2. How do you calculate the total resistance of resistors in series?

The total resistance of resistors in series is calculated by simply adding up all the individual resistor values. This is because the current must flow through each resistor in order, resulting in a cumulative effect on the total resistance.

3. How do you calculate the total resistance of resistors in parallel?

The total resistance of resistors in parallel is calculated using the formula 1/Rt = 1/R1 + 1/R2 + 1/R3... where Rt is the total resistance and R1, R2, R3... are the individual resistor values. This formula takes into account the fact that in parallel, the total resistance is less than the smallest individual resistance.

4. What happens to the current in a series circuit if one resistor is removed?

If one resistor is removed from a series circuit, the current in the circuit will decrease. This is because the total resistance of the circuit has decreased, allowing more current to flow through the remaining resistors.

5. What happens to the current in a parallel circuit if one resistor is removed?

If one resistor is removed from a parallel circuit, the current in the circuit will increase. This is because the total resistance of the circuit has decreased, allowing more current to flow through the remaining resistors. Additionally, the voltage across each remaining resistor will also increase, as there is less resistance in the circuit to impede the flow of current.

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