Parallel Connection of Resistors
Parallel Connection of Resistors
When two or more resistors are connected simultaneously between two points that is first ends of all the resistors are connected to one point and the all the second ends are connected to the other point, then they form a parallel combination. In this combination, the potential difference between the ends of all the resistances is same but the current is different in different resistance.
In this combination more than one resistance is connected as shown. In this type of circuit:
1. Equal potential difference across each resistance.
2. Total current flowing through the combination is equal to the sum of current flowing through each resistance.
3. Current through each resistance can be calculated using Ohm’s Law and is proportional to the value of resistance.
4. Equivalent resistance is less than resistance of any resistor in the circuit.. This is also known as minimum effective resistance
In the circuit given we have three resistance R1, R2 and R3 are connected in parallel and I1, I2 and I3 are the current flowing through each resistance respectively. If V is the potential difference across the combination the equivalent resistance can be calculated as
Total current is the sum of current flowing through each resistance,then
.....(i)
By Ohm s law,
.....(ii)
If R is the equivalent resistance, then
.....(iii)
Thus the values from equation (2) and (3) in (1) we get
Some important points regarding parallel combination of resistors are as follows :
Parallel combination of resistances is highly useful in circuits used in daily life as the circuits can have components of different resistances and different amounts of current can flow through them. The total resistance in a parallel circuit decreases which helps in the condition that each gadget has different resistances in a circuit and requires different amounts of current to operate. Parallel circuit divides the current among the components (electrical gadgets), so that they can have necessary amount of current to operate properly.
This is the reason of connecting electrical appliances in parallel combination in household circuit.
Illustration: In the circuit given below calculate the current flowing through each resistor.and verify the relationship of current in parallel connections.
Solution: In the circuit we have two resistance R1, R2 and R3 which are connected in parallel to battery of 9 V. The equivalent resistance can be calculated as
In a circuit if three resistance of 1ohms, 2 ohms and 3 ohms are connected in parallel then what is the net resistance | |||
| Right Option : C | |||
| View Explanation | |||
In a circuit if four resistance of 1 ohms, 2 ohms and 3 ohms and 4 ohms are connected in parallel then what is the net resistance | |||
| Right Option : B | |||
| View Explanation | |||
In a circuit if three resistance of 3ohms each are connected in parallel then what is the net resistance | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
