English

Four Resistors Each of Resistance 2ω Are Connected in Parallel. What is the Effective Resistance?

Advertisements
Advertisements

Question

Four resistors each of resistance 2Ω are connected in parallel. What is the effective resistance? 

Advertisements

Solution

R1 = 2 ohm
R2 = 2 ohm
R3 = 2 ohm 

R4 = 2 ohm 

`1/R=1/R_1+1/R_2+1/R_3+1/R_4` 

=`1/2+1/2+1/2+1/2=2` 

R = 0.5 ohm

shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

What are the advantages of connecting electrical devices in parallel with the battery instead of connecting them in series?


The equivalent resistance of the parallel combination of two resistors of 60Ω and 40Ω is _______.

A) 24Ω

(B) 100Ω

(C) 50 Ω

(D) 240Ω


Find the current in each resistor in the circuit shown below: 


In the circuit given below:    

 

(a) What is the combined resistance?
(b) What is the p.d. across the combined resistor?
(c) What is the p.d. across the 3 Ω resistor?
(d) What is the current in the 3 Ω resistor?
(e) What is the current in the 6 Ω resistor?


In parallel combination of resistances ______.


A battery of e.m.f 16 V and internal resistance 2 Ω is connected to two resistors 3Ω and 6Ω connected in parallel. Find:

  1. the current through the battery.
  2. p.d. between the terminals of the battery,
  3. the current in 3 Ω resistors,
  4. the current in 6 Ω resistor. 

Three resistors of 1 Ω, 2 Ω and 3 Ω are connected in parallel. The combined resistance of the three resistors should be:


You are given four ammeters A, B, C and D having the least counts mentioned below:

(I) Ammeter A with least count 0.25 A

(II) Ammeter B with least count 0.5 A

(III) Ammeter C with least count 0.05 A

(IV) Ammeter D with least count 0.1 A

Which of the ammeters would you prefer for doing an experiment to determine the equivalent resistance of two resistances most accurately, when connected in parallel?


Three resistors of 6Ω, 4Ω and 4Ω are connected together so that the total resistance is 8Ω. Draw a diagram to show this arrangement and give reason to justify your answer.


A particular resistance wire has a resistance of 3·0 ohm per metre. Find the resistance of 5 m length of a wire of the same material, but with twice the area of cross section.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×