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Combination of Resistors for JEE: 64 solved questions

Real JEE paper questions on combination of resistors, part of current electricity. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Series and parallel combinations — 41 questions
• Wires bent into shapes — 14 questions
• Symmetric and complex networks — 9 questions

All 64 questions with solutions

• Two known resistance of R Ω and 2R Ω and one unknown resistance X Ω are connected in a circuit as shown in th… JEE Main 21st Jan 2nd Shift 2026
• A wire of uniform resistance λ Ω/m is bent into a circle of radius r and another piece of wire with length 2r… JEE Main 23rd Jan 1st Shift 2026
• A regular hexagon is formed by six wires each of resistance r Ω and the corners are joined to the centre by w… JEE Main 24th Jan 2nd Shift 2026
• A wire of length 25 m and cross-sectional area 5 mm² having resistivity of 2×10⁻⁶ Ω m is bent into a complete… JEE Main 3rd April 1st Shift 2025
• From the combination of resistors with resistances values R₁=R₂=R₃=5 Ω and R₄=10 Ω, which of the following co… JEE Main 4th April 2nd Shift 2025
• A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The… JEE Main 28th Jan 1st Shift 2025
• Find the equivalent resistance between two ends of the following circuit [Figure: a straight line from the le… JEE Main 28th Jan 1st Shift 2025
• In the given figure R₁=10 Ω, R₂=8 Ω, R₃=4 Ω and R₄=8 Ω. Battery is ideal with emf 12 V. Equivalent resistance… JEE Main 5th April 1st Shift 2024
• The equivalent resistance between A and B is [Figure: a rectangular loop drawn as a 3 by 2 grid. The top-left… JEE Main 9th April 1st Shift 2024
• The effective resistance between A and B, if resistance of each resistor is R, will be [Figure: A joins throu… JEE Main 9th April 2nd Shift 2024
• A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallelly, then res… JEE Main 1st Feb 2nd Shift 2024
• In the given circuit, the current in resistance R₃ is [Figure: a 10 V cell on the bottom wire; the top path h… JEE Main 29th Jan 2nd Shift 2024
• A potential divider circuit is shown in figure. The output voltage V₀ is [Figure: a 4 V cell connected across… JEE Main 30th Jan 1st Shift 2024
• The equivalent resistance between A and B as shown in figure is [Figure: a line from A passes 20 kΩ to point… JEE Main 8th April 2nd Shift 2023
• The current flowing through R₂ is [Figure: an 8 V battery is connected between nodes E and A. R₅=2 Ω joins E… JEE Main 11th April 2nd Shift 2023
• Given below are two statements: Statement I: The equivalent resistance of resistors in a series combination i… JEE Main 15th April 1st Shift 2023
• Equivalent resistance between the adjacent corners of a regular n-side polygon of uniform wire of resistance… JEE Main 1st Feb 2nd Shift 2023
• As shown in the figure, a network of resistors is connected to a battery of 24 V with an internal resistance… JEE Main 24th Jan 1st Shift 2023
• The equivalent resistance between A and B is . [Figure: a rectangle whose left side is a plain wire (node A)… JEE Main 30th Jan 2nd Shift 2023
• Given below are two statements. Statement I: A uniform wire of resistance 80 Ω is cut into four equal parts.… JEE Main 28th July 2nd Shift 2022
• What will be the most suitable combination of three resistors A=2 Ω, B=4 Ω, C=6 Ω, so that ((22)/3)Ω is equiv… JEE Main 24th June 2nd Shift 2022
• The equivalent resistance between points A and B in the given network is [Figure: nodes A, P, Q, S, B. From A… JEE Main 26th June 2nd Shift 2022
• If you are provided a set of resistances 2 Ω, 4 Ω, 6 Ω and 8 Ω. Connect these resistances so as to obtain an… JEE Main 26th Aug 2nd Shift 2021
• The equivalent resistance of the given circuit between the terminals A and B is [Figure: a ladder between a t… JEE Main 31st Aug 2nd Shift 2021
• Five equal resistances are connected in a network as shown in figure. The net resistance between the points A… JEE Main 26th Feb 1st Shift 2021
• A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between… JEE Main 9th April 1st Shift 2019
• A metal wire of resistance 3 Ω is elongated to make a uniform wire of double its previous length. This new wi… JEE Main 9th April 2nd Shift 2019
• A uniform metallic wire has a resistance of 18 Ω and is bent into an equilateral triangle. Then, the resistan… JEE Main 10th Jan 1st Shift 2019
• In the given circuit all resistances are of value R ohm each. The equivalent resistance between A and B is [F… JEE Main Online 2018
• A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm. The sides of the letter are 20 cm… JEE Main Online 2013
• The resistance of the series combination of two resistances is S. When they are joined in parallel the total… JEE Main 2004
• The equivalent resistance between the points A and B in the following circuit is x/5 Ω. The value of x is . [… JEE Main 28th Jan 1st Shift 2026
• The net current flowing in the given circuit is A. [Figure: a ladder with a bottom rail G. A 2 V cell sits in… JEE Main 22nd Jan 2nd Shift 2025
• A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent resistance across any t… JEE Main 24th Jan 1st Shift 2025
• Twelve wires each having resistance 2Ω are joined to form a cube. A battery of 6 V emf is joined across point… JEE Main 4th April 1st Shift 2024
• A wire of resistance 20 Ω is divided into 10 equal parts, resulting pairs. A combination of two parts are con… JEE Main 5th April 2nd Shift 2024
• To determine the resistance (R) of a wire, a circuit is designed below. The V-I characteristic curve for this… JEE Main 9th April 2nd Shift 2024
• Equivalent resistance of the following network is Ω. [Figure: a top rail ending at terminal A and a bottom ra… JEE Main 31st Jan 1st Shift 2024
• 10 resistors each of resistance 10 Ω can be connected in such as to get maximum and minimum equivalent resist… JEE Main 10th April 1st Shift 2023
• In the given circuit, the equivalent resistance between the terminal A and B is Ω. [Figure: A connects throug… JEE Main 25th Jan 1st Shift 2023
• The current I flowing through the given circuit will be A. [Figure: three 9 Ω resistors drawn in a row betwee… JEE Main 29th July 1st Shift 2022
• The total current supplied to the circuit as shown in figure by the 5 V battery is A. [Figure: a circular wir… JEE Main 25th June 1st Shift 2022
• In the given circuit a is an arbitrary constant. The value of m for which the equivalent circuit resistance i… JEE Main 27th June 2nd Shift 2022
• All resistance in figure are 1 Ω each. The value of current I is a/5 A. The value of a is . [Figure: a 3 V ce… JEE Main 28th June 2nd Shift 2022
• The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switc… JEE Main 27th Aug 2nd Shift 2021
• A square shaped wire with resistance of each side 3 Ω is bent to form a complete circle. The resistance betwe… JEE Main 31st Aug 1st Shift 2021
• In the given figure switches S₁ and S₂ are in open condition. The resistance across ab when the switches S₁ a… JEE Main 20th July 2nd Shift 2021
• The equivalent resistance of series combination of two resistors is s. When they are connected in parallel, t… JEE Main 17th March 1st Shift 2021
• The voltage across the 10 Ω resistor in the given circuit is x volt. The value of x to the nearest integer is… JEE Main 18th March 1st Shift 2021
• A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the poi… JEE Main 25th July 2nd Shift 2022
• The current I₁ (in A) flowing through 1 Ω resistor in the following circuit is [Figure: two 1 Ω resistors in… JEE Main 7th Jan 1st Shift 2020
• In the given circuit diagram, a wire is joining points B and D. The current in this wire is [Figure: upper pa… JEE Main 9th Jan 1st Shift 2020
• In the figure shown, what is the current (in Ampere) drawn from the battery? You are given: R₁=15 Ω, R₂=10 Ω,… JEE Main 8th April 2nd Shift 2019
• In the given circuit the internal resistance of the 18 V cell is negligible. If R₁=400 Ω, R₃=100 Ω and R₄=500… JEE Main 9th Jan 2nd Shift 2019
• [Figure: an infinite ladder. Battery B on the left, positive terminal at the top. From its top terminal: amme… JEE Main Online 2017
• The total current supplied to the circuit by the battery is [Figure: a circular wire with a centre node O. Th… JEE Main 2004
• A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The cu… JEE Main 2003
• In the given circuit, the current flowing through the resistance 20 Ω is 0.3 A, while the ammeter reads 0.9 A… JEE Main 29th Jan 2nd Shift 2024
• The voltage drop across 15 Ω resistance in the given figure will be V. [Figure: two branches in parallel betw… JEE Main 31st Aug 1st Shift 2021
• A 16 Ω wire is bend to form a square loop. A 9 V supply having internal resistance of 1 Ω is connected across… JEE Main 25th July 2nd Shift 2021
• In the figure given, the electric current flowing through the 5 kΩ resistor is x mA. [Figure: a single loop c… JEE Main 16th March 1st Shift 2021
• A current of 6 A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2 Ω each and… JEE Main 25th Feb 2nd Shift 2021
• A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same len… JEE Main 7th April 1st Shift 2025
• The equivalent resistance of the circuit shown below between points a and b is [Figure: triangle with base co… JEE Main 10th April 1st Shift 2023