A cell of negligible resistance and e.m.f. 2 volt is connected to a series combination of 2, 3 and 5 ohms. The potential difference across the 3 ohm resistance will be
A. 6 V
B. 3V
C. $\dfrac{2}{3}V$
D. 0.6 V
Answer
290.7k+ views
Hint: The effective resistance in series connections of the resistor will be. When resistors are connected in series, the current through each resistor will be same and potential difference is not same while in parallel connection, potential difference across each resistor will be same and current will be different.
Complete step by step answer:
In a series connection containing two resistors, the voltage across the two ends of the circuit is directly proportional to the effective resistance in the circuit, i.e. \[V \propto R\]
As there is a series combination of 2, 3 and 5 ohms in the circuit. So, the effective resistance is
\[R = 2 + 3 + 5 = 10\] ohms
As the 3 ohms resistor constitutes only the three-tenths of the total resistance, so the voltage across the 3 ohms resistor will be \[\dfrac{3}{{10}} \times 2 = 0.6\,V\]
Hence the potential difference across the 3 ohm resistor will be 0.6 V.
Hence, the correct option is (D).
Note:Resistors are said to be in series connection, if the same current is flowing through each resistor when the same potential difference is applied across the combination. The effective resistance of a series combination of resistors is always greater than the resistance of an individual resistor. In a series connection, the current is the same in every resistor. The current in the circuit is independent on the relative positions of different resistors in the connection. The potential difference across any resistor in the circuit is directly proportional to the resistance of that resistor.
Complete step by step answer:
In a series connection containing two resistors, the voltage across the two ends of the circuit is directly proportional to the effective resistance in the circuit, i.e. \[V \propto R\]
As there is a series combination of 2, 3 and 5 ohms in the circuit. So, the effective resistance is
\[R = 2 + 3 + 5 = 10\] ohms
As the 3 ohms resistor constitutes only the three-tenths of the total resistance, so the voltage across the 3 ohms resistor will be \[\dfrac{3}{{10}} \times 2 = 0.6\,V\]
Hence the potential difference across the 3 ohm resistor will be 0.6 V.
Hence, the correct option is (D).
Note:Resistors are said to be in series connection, if the same current is flowing through each resistor when the same potential difference is applied across the combination. The effective resistance of a series combination of resistors is always greater than the resistance of an individual resistor. In a series connection, the current is the same in every resistor. The current in the circuit is independent on the relative positions of different resistors in the connection. The potential difference across any resistor in the circuit is directly proportional to the resistance of that resistor.
Last updated date: 02nd Jun 2023
•
Total views: 290.7k
•
Views today: 7.46k
Recently Updated Pages
Most eubacterial antibiotics are obtained from A Rhizobium class 12 biology NEET_UG

Salamin bioinsecticides have been extracted from A class 12 biology NEET_UG

Which of the following statements regarding Baculoviruses class 12 biology NEET_UG

Sewage or municipal sewer pipes should not be directly class 12 biology NEET_UG

Sewage purification is performed by A Microbes B Fertilisers class 12 biology NEET_UG

Enzyme immobilisation is Aconversion of an active enzyme class 12 biology NEET_UG

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Write a letter to the Principal of your school to plead class 10 english CBSE
