Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors

A wire with a resistance of 15.0 is formed into a regular hexagon ABCDEFA . Calculate the equivalent resistance of the loop between points A and D .

Options

  1. A3.75
  2. B3.33
  3. C1.88
  4. D7.50

Correct answer

A. 3.75

Step-by-step solution

Total resistance of the wire is 15.0 . Since the wire is formed into a regular hexagon, it is divided into 6 equal sides. The resistance of each side is 15.0 6 = 2.5 . Points A and D are opposite vertices of the hexagon. The circuit between A and D consists of two parallel paths: path ABCD and path AFED . Each path contains 3 sides in series. The resistance of each path is 3 2.5 = 7.5 . The equivalent resistance R_ eq between A and D is the parallel combination of these two paths: R_ eq = 7.5 7.5 7.5 + 7.5 = 7.5 2

Practice Electric Current in Conductors on Quantrex Academy →

More from Electric Current in Conductors

The amount of charge passing through a cross-section of a wire in time t is given by Q(t) = At^2 + Bt + C . Determine the dimensional formulae for A , B , and C .A discharge tube carries an electric current of 2.0 A . Determine the amount of charge that passes through a cross-section of the tube in 5 minutes.The current flowing through a wire varies with time according to i = i₀ + t , where i₀ = 10 A and = 4 A s ⁻¹ . Determine the charge that crosses a section of the wire in 10 secondsA copper wire with a cross-section of 1.0 mm ^2 carries a current of 1.0 A . Determine the drift speed of the free electrons in the wire, assuming there is one free electron per atAn electron gun releases 2.0 10¹⁶ electrons per second. Determine the electric current this corresponds to.The amount of charge passing through a cross-section of a wire in time t is Q(t) = At^2 + Bt + C . Assuming the numerical values of A , B , and C in SI units are 5 , 3 , and 1 respA uniform wire having a resistance of 100 is melted and recast into a new wire whose length is double that of the original. What will be the resistance of the new wire?Determine the required length of a copper wire having a cross-sectional area of 0.01 mm ^2 to produce a resistance of 1 k . The resistivity of copper is given as 1.7 10⁻⁸ m . Full Electric Current in Conductors list All Concepts Of Physics MCQ Edition [Volume 2] PYQs