posted by .

A person has a 2 resistance coils. By using them singly, in series or in parallel, he obtains 2 ohm, 4 ohm, 12 ohm, and 16 ohm. What is the new resistance?

  • physics -

    Given 4 resistances, and we need to sort out which one is which.

    Assume that the resistances are non-zero.

    We know that two resistances in parallel is always smaller than any of the two.

    Similarly, two resistances in series is always greater than any of the two.

    So the two single resistances are the middle values, namely 4Ω and 12Ω.

    Let's check:
    In series, total = 4+12=16Ω ok
    In parallel, R=1/(1/4+1/12)=1/(4/12)=3Ω
    does not equal the smallest of 2Ω.

    Could you check if there is a typo in the question?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics (please check)

    A total resistance of 3 ohms is to be producd by combining an unknown resistor R with a 12 ohm resistor. What is the value of R and how is it connected to the 12 ohm resistor a) 4.0 ohm parallel b) 4.0 ohm in series c) 2.4 ohm in parallel …
  2. physics

    the table below shows the values of the resistance, capcitive reactance and inductive reactance for five RCL circuits. in which circuit will the voltage lead the current?
  3. physics

    A series RCL contains 150 ohm resistor, a 1.75x10^-6F capcitor and inductance of inductor 0.035H and voltage of generator 60.0 Hz. Determine its total impedance. a) 1500 ohm b) 1900 ohm c) 1700 ohm d) 500 ohm e) 300 ohm
  4. College physics

    Find the following currents. The current I_1 through the resistor of resistance R1 = 15.0 Ohm * The current I2 through the resistor of resistance R2 = 45.0 ohm. * The current I3 through the resistor of resistance R3 = 20.0 Ohm. * The …
  5. physics

    A 18.7 ohm and a 24.3 ohm resistor are connected parallel. A difference in potential of 41.5 V is applied to the combination. What is the equivalent resistance of the parallel circuit?
  6. science

    Three different resistors: 10 ohm, 20 ohm, and 20 ohm are connected in series, the overall resistance is:
  7. science

    Three different resistors: 10 ohm, 20 ohm, and 20 ohm are connected in parallel, the overall resistance is:
  8. physix

    three resistances of value 1 ohm, 2 ohm and 3 ohm are connected in parallel.If the effective resistance of the circuit has to be 1 ohm, the value of the resistance to be connected in series to this circuit should be?
  9. physics

    Calculate the total resistance for a 650 ohm, a 350 ohm, and a 1000 ohm resistor connected in series.
  10. physics

    from circuit R1 6680 ohm R2 680 ohm R3 330 ohm R4 180 ohm find the total resistance

More Similar Questions