Unlimited numbers of and resistors are available

PHYSICS · Multi-part · CBSE · Physics · Electricity · Electricity

Problem

Unlimited numbers of 4 Ω4\,\Omega and 10 Ω10\,\Omega resistors are available. A circuit designer needs an equivalent resistance as close as possible to 6.0 Ω6.0\,\Omega, with an allowable tolerance of ±0.2 Ω\pm0.2\,\Omega. Not more than four resistors may be used. (a) Find one combination of at most four of the given resistors whose equivalent resistance lies within the required tolerance range. (b) Show the calculation that confirms the equivalent resistance of your chosen combination. (c) Calculate the percentage deviation of your equivalent resistance from the target value of 6.0 Ω6.0\,\Omega.

Related theory

Browse the problem library