math 117/algebra

The combined resistance of two resistors R_(1 amd R_2 )in a parallel circuit is given by the formula R_(r= 1/(1/R_1 + 1/R_2 )) Simplify the formula. Help what is this talking about and how do I work it?

find R as a function fo r`1 and r2.

1/R= 1/r1 + `1/R2

R= ???

Get a common denominator on the right (r1r2), combine the fractions, then invert the left and right sides.

r= 1/(1/R_1 + 1/R_2 ) =

R_1 R_2/(R_1 + R_2)

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Two resistors of resistances 3 ohms and 6 ohms are connected in a parallel across a 9 V battery. What is the equivalent resistance and the total current in the circuit?

  2. Physics

    Thanks for any help :) Four 20 ohm resistors are connected in parallel and the combination is connected to a 20V emf device. The current is: A) 0.25A B) 1.0 A C) 4.0 A D) 5.0 A E) 100 E Parallel circuits: I know that the voltage

  3. Science

    The combined resistance of two identical resistors connected in series is 8 ohm. Their combined resistance in a parallel arrangement will be?

  4. Physics

    Four resistors of resistance 1ohm,2ohms,3ohms,5 ohms are connected in series and afterwards in parallel. Calculate the combined resistance in each case.

  1. Physics

    A circuit consisting of three resistance 12ohm, 18ohm and 36ohm respectively joined in parallel, and connected in series with the fourth resistance. The whole circuit is supplied at 60volts and it is found that the power

  2. calculus

    Part of a circuit has two resistors connected in parallel as shown in the figure. R(1) is a constant resistor of 10 ohm, while R(2) is a variable resistor with resistance that varies at a rate of 2 ohms per minute. The total, or

  3. Science

    2 cells, each of Emf 2v and internal resistance 0.5ohms are connected in series .they are made to supply current to a combination of three resistors one of the resistance 2ohms is connected in series to a parallel combination of

  4. Physics ASAP!!

    1. Three resistors are placed in series. They have the following resistances: R1 = 20 ohms, R2 = 20 ohms, R3 = 10 ohms. What current would be moved through this circuit by a 5-V power supply? A. 1.0 A B. 0.10 A C. 25 A D. 250 A 2.

  1. physics

    A 15.0 Ohms resistor is connected in series to a 120V generator and two 10.0 Ohms resistors that are connected in parallel to each other. -What is the total resistance of the load? -What is the magnitude of the circuit current?

  2. Physics

    1)Four resistors of 10.0 each are connected in parallel. A combination of four resistors of 10.0 each is connected in series along with the parallel arrangement. What is the equivalent resistance of the circuit? A)80.0 B)40.4

  3. Physics

    Determine the total resistance of each of the following parallel circuits. A. A parallel circuit with a 20-ohm resistor and a 10-ohm resistor. B. A parallel circuit with two 20-ohm resistors and a 10-ohm resistor. C. A parallel

  4. physics

    two unknown resistors a and b are connected together. when they are connected in series their combined resistance is 15 ohm. When they are connected in parallel, their combined resistance is 3.3 ohm. What are the resistances of A

You can view more similar questions or ask a new question.