Question

In: Physics

Two resistors when connected in series to a 120-VV line use one-fourth the power that is...

Two resistors when connected in series to a 120-VV line use one-fourth the power that is used when they are connected in parallel.

Part A

If one resistor is 2.6 kΩkΩ , what is the resistance of the other?

Solutions

Expert Solution

Let the other resistance is X.

Let the equivalent resistance for series connection is Rs.

Let the equivalent resistance for the parallel connection is Rp.

Let the power for series connection is Ps.

Let the power for the parallel connection is Pp.

The value of equivalent resistance for series is

The value of equivalent resistance for parallel is

We know the power is inversely proportional to the equivalent resistance when the supply voltage is constant.

  

  

  

  

  

The value of other resistance is 2600 or 2.6 k.


Related Solutions

When two unknown resistors are connected in series with a battery, the battery delivers 230 W...
When two unknown resistors are connected in series with a battery, the battery delivers 230 W and carries a total current of 5.00 A. For the same total current, 55.0 W is delivered when the resistors are connected in parallel. Determine the values of the two resistors.
1.A circuit of resistors connected in series is plugged in a 120 V outlet. What can...
1.A circuit of resistors connected in series is plugged in a 120 V outlet. What can you tell about the voltage on each of resistor and current in each resistor? 2.A circuit of capacitors connected in parallel is plugged in a 120 V outlet. What can you tell about the voltage on each capacitor and current in each capacitor?
Resistors connected in series generally always select all that apply 1 dissipate more power than when...
Resistors connected in series generally always select all that apply 1 dissipate more power than when hooked up in parallel 2 offer the biggest effective resistance compared to any other way of connecting them 3 dissipate the same amount of power each 4 have the same voltage across them 5 have the same current through them
When resistors 1 and 2 are connected in series, the equivalent resistance is 14.4 Ω. When...
When resistors 1 and 2 are connected in series, the equivalent resistance is 14.4 Ω. When they are connected in parallel, the equivalent resistance is 2.69 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?
When resistors 1 and 2 are connected in series, the equivalent resistance is 22.2 Ω. When...
When resistors 1 and 2 are connected in series, the equivalent resistance is 22.2 Ω. When they are connected in parallel, the equivalent resistance is 4.39 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?
A battery is connected across a series combination of two identical resistors. If the potential difference...
A battery is connected across a series combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then: Which of these statement are true? The potential difference across each resistor is V and the current in each resistor is i The potential difference across each resistor is V/2 and the current in each resistor is i The potential difference across each resistor is V and the current in...
A simple electrical circuit comprises a battery and two 10.0 ? resistors connected in series. The...
A simple electrical circuit comprises a battery and two 10.0 ? resistors connected in series. The battery generates a voltage of 8.95 V and the current passing through the circuit is 425 mA. (a) Calculate the internal resistance (r) of the battery. (b) Briefly explain why a good voltmeter should have a high resistance.
Two resistors of exactly the same resistance are hooked in series to a power supply and...
Two resistors of exactly the same resistance are hooked in series to a power supply and the total current: Itot(series) is measured. The same two resistors are then connected to the same power supply in parallel. The total parallel current is related to the total series current through the relationship: Select one: a. Itot(parallel) = 1/4 × Itot(series) b. Itot(parallel) = 1/2 × Itot(series) c. Itot(parallel) = 2 × Itot(series) d. Itot(parallel) = 8 × Itot(series) e. Itot(parallel) = 1/8...
A 10-volt voltage source is connected in a series arrangement with two resistors (R1 = 7...
A 10-volt voltage source is connected in a series arrangement with two resistors (R1 = 7 ohms, R2 = 3 ohms). The current flowing in each resistor is: a) 1.8 amperes   b) 45 amperes   c) 0.05 amperes   d) 1 ampere    e) 3.5 amperes What is the voltage across R2 in the above circuit? a) 2 volts   b) 10 volts   c) 3 volts   d)   0.25 volts   e)   5 volts        3. If R1 and R2 are now connected in parallel, what...
The power supply, the resistors and the wires can be connected such that the current drawn...
The power supply, the resistors and the wires can be connected such that the current drawn from the supply is smaller than the ratio of voltage provided by the power supply and the sum of all the resistors used. The power supply, the resistors and the wires can be connected such that the current drawn from the supply is larger than the ratio of voltage provided by the power supply and the sum of all the resistors used. The power...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT