Equivalent Resistance and 5.Combination of Resistors - Series and Parallel, Circuit PYQs: JEE Mains Physics

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1. 1. A regular hexagon is formed by six wires each of resistance \(r \Omega\) and the corners are joined to centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be 2026 Easy
2. 2. A wire of uniform resistance \(\lambda \Omega / m\) is bent into a circle of radius \(r\) and another piece of wire with length 2 r is connected between points A and B \(( AOB )\) as shown in figure. The equivalent resistance between points A and B is ___________\(\Omega\).
   2026 Easy
3. 3. A wire of length 25 m and cross-sectional area \(5 \mathrm{~mm}^2\) having resistivity of \(2 \times 10^{-6} \Omega \mathrm{~m}\) is bent into a complete circle. The resistance between diametrically opposite points will be: 2025 Medium
4. 4. A wire of resistance \(9 \Omega\) is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _____ ohm. 2025 Easy
5. 5. A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into \(a\) square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is: 2025 Medium
6. 6. Find the equivalent resistance between two ends of the following circuit
   2025 Easy
7. 7. 12 wires each having resistance \(2 \Omega\) are joined to form a cube. A battery of \(6 \mathrm{~V}\) emf is joined across point \(\mathrm{a}\) and \(\mathrm{c}\). The voltage difference between \(e\) and \(f\) is ______V.
   2024 Hard
8. 8. A potential divider circuit is shown in figure. The output voltage \(V_0\) is _______.
   2024 Hard
9. 9. A wire of resistance \(20 \Omega\) is divided into \(10\) equal parts. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is _______\(\Omega\). 2024 Hard
10. 10. 1. A wire of resistance \( R \) and length \( L \) is cut into 5 equal parts. If these parts are joined in parallel, then the resultant resistance will be: 2024 Hard
11. 11. Equivalent resistance of the following network is _______ \(\Omega\).
    2024 Hard
12. 12. In the given circuit, the current flowing through the resistance \(20\ \Omega\) is \(0.3 \mathrm{~A}\), while the ammeter reads \(0.9 \mathrm{~A}\). The value of \(\mathrm{R}_1\) is _______ \(\Omega\).
    2024 Hard
13. 13. In the given circuit, the current in resistance \(\mathrm{R}_3 \) is _______.
    2024 Hard
14. 14. In the given figure \(R_1=10 \Omega, R_2=8 \Omega, R_3=4 \Omega\) and \(R_4=8 \Omega\). Battery is ideal with emf \(12 \mathrm{~V}\). Equivalent resistant of the circuit and current supplied by battery are _______ respectively.
    2024 Hard
15. 15. The effective resistance between \(A\) and \(B\), if resistance of each resistor is \(R\) will be _______.
    2024 Hard
16. 16. The equivalent resistance between \(A\) and \(B\) is _______.
    2024 Hard
17. 17. The value of unknown resistance \((x)\) for which the potential difference between \(B\) and \(D\) will be zero in the arrangement shown, is _______.
    2024 Hard
18. 18. Two resistance of \(100\ \Omega\) and \(200\  \Omega\) are connected in series with a battery of \(4 \mathrm{~V}\) and negligible internal resistance. \(A\) voltmeter is used to measure voltage across \(100 \Omega\) resistance, which gives reading as \(1 \mathrm{~V}\). The resistance of voltmeter must be _______ \(\Omega\). 2024 Hard
19. 19. \(10\) resistors each of resistance \(10\,\Omega\) can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be \(..........\). 2023 Medium
20. 20. A network of four resistances is connected to \(9\,V\) battery, as shown in figure. The magnitude of voltage difference between the points \(A\) and \(B\) is .......... \(V.\)
    2023 Medium
21. 21. As shown in the figure, a network of resistors is connected to a battery of \(2\,V\) with an internal resistance of \(3\,\Omega\). The currents through the resistors \(R_4\) and \(R_5\) are \(I_4\) and \(I_5\) respectively. The values of \(I_4\) and \(I_5\) are :
    2023 Hard
22. 22. As shown in the figure, the voltmeter reads \(2\,V\) across \(5\,\Omega\) resistor. The resistance of the voltmeter is \(.......\,\Omega\).
    2023 Hard
23. 23. Equivalent resistance between the adjacent corners of a regular \(n\)-sided polygon of uniform wire of resistance \(R\) would be: 2023 Medium
24. 24. For the given circuit, in the steady state, \(\left| V _{ B }- V _{ D }\right|=.......V.\)
    2023 Hard
25. 25. If the potential difference between \(B\) and \(D\) is zero, the value of \(x\) is \(\frac{1}{n} \Omega\). The value of \(n\) is .......
    2023 Medium
26. 26. In the circuit shown, the energy stored in the capacitor is \(n\,\mu J\). The value of \(n\) is ..............
    2023 Hard
27. 27. In the following circuit, the magnitude of current \(I _{ l }\), is \(............A\).
    2023 Hard
28. 28. In the given circuit, the equivalent resistance between the terminal \(A\) and \(B\) is \(........\Omega\).
    2023 Medium
29. 29. In the given circuit the value of \(\left|\frac{I_1+I_3}{I_2}\right|\) is
    2023 Medium
30. 30. In this figure the resistance of the coil of galvanometer \(G\) is \(2\,\Omega\). The emf of the cell is \(4\,V\). The ratio of potential difference across \(C_1\) and \(C_2\) is:
    2023 Hard
31. 31. The current flowing through \(R _2\) is:
    2023 Medium
32. 32. The equivalent resistance between \(A\) and \(B\) as shown in figure is \(........\,k\Omega\)
    2023 Easy
33. 33. The equivalent resistance between \(A\) and \(B\) is \(......\)
    2023 Medium
34. 34. The equivalent resistance between \(A\) and \(B\) of the network shown in figure
    2023 Medium
35. 35. The equivalent resistance of the circuit shown below between points \(a\) and \(b\) is \(..........\Omega\)
    2023 Medium
36. 36. A battery of \(6\,V\) is connected to the circuit as shown below. The current I drawn from the battery is:
    2022 Medium
37. 37. A current of \(15\,mA\) flows in the circuit as shown in figure. The value of potential difference between the points \(A\) and \(B\) will be \(...\,V\)
    2022 Medium
38. 38. All resistances in figure are \(1\,\Omega\) each. The value of current ' \(I\) ' is \(\frac{a}{5}\,A\). The value of \(a\) is
    2022 Hard
39. 39. As show in the figure, in steady state, the charge stored in the capacitor is....... \(\times 10^{-6}\,C\).
    2022 Hard
40. 40. Current measured by the ammeter \((A)\) in the reported circuit when no current flows through \(10\,\Omega\) resistance. will be________\(A\)
    2022 Hard
41. 41. For the given circuit the current through battery of \(6\,V\) just after closing the switch ' \(S\) ' will be\(.......A\).
    2022 Medium
42. 42. Given below are two statements: Statement \(I\) : A uniform wire of resistance \(80\,\Omega\) is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be \(5\,\Omega\). Statement \(II :\) Two resistance \(2\,R\) and \(3\,R\) are connected in parallel in a electric circuit. The value of thermal energy developed in \(3\,R\) and \(2\,R\) will be in the ratio \(3:2.\) In the light of the above statements, choose the most appropriate answer from the options given below 2022 Medium
43. 43. In the given circuit ' \(a\) ' is an arbitrary constant. The value of \(m\) for which the equivalent circuit resistance is minimum, will be \(\sqrt{\frac{ x }{2}}\). The value of \(x\) is ...........
    2022 Hard
44. 44. In the given figure, the value of \(V_{0}\) will be \(.....V\).
    2022 Hard
45. 45. The current \(I\) flowing through the given circuit will be \(.....A\).
    2022 Medium
46. 46. The current \(I\) in the given circuit will be \(......A\)
    2022 Medium
47. 47. The equivalent resistance between points \(A\) and \(B\) in the given network is ............ \(\Omega\)
    2022 Medium
48. 48. The total current supplied to the circuit as shown in figure by the \(5 V\) battery is \(A\)
    2022 Medium
49. 49. Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance \(2000 \,\Omega\) is used to measure the potential difference across \(500 \,\Omega\) resister, the reading of the voltmeter will be ............... \(V\)
    2022 Medium
50. 50. What will be the most suitable combination of three resistors \(A =2\, \Omega, B =4\, \Omega, C =6\, \Omega\) so that \(\left(\frac{22}{3}\right)\Omega\) is equivalent resistance of combination\(?\) 2022 Medium

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