Question

Suppose I have 3 identical resistors, each one 2.00 k 2. I want to use all three of them in a circuit. What is the maximum resistance I can achieve with those 3 resistors? a. 0.67 k12 b. 2.00 k 2 C. 4.00 k 2 d. 6.00 k 2 e. 8.00 k 2 Same question but now I want to know the minimum resistance I can achieve with those 3 resistors. (They all need to be part of the circuit, so that current flows through them. You can't just leave them out of the circuit!) a. 0.67 k22 b. 2.00 k 2 C. 4.00 k 2 d. 6.00 k2 e. 8.00 k22

Answer 1

When we connect Resistors in Series, we obtain maximum Resistance.

Equivalent Resistance of 3 resistors ,  

For 'n' equal Resistances,   

   $\Rightarrow R_{eq} = 3*2.00 = 6.00 \Omega$   ................ Option d.

When we connect Resistors in Parallel, we obtain minimum Resistance.

Equivalent Resistance of 3 resistors,   $\frac{1}{R_{eq} } = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$

For 'n' equal Resistances,    

Req=

  $\Rightarrow R_{eq} = \frac{2.00}{3} = 0.67\Omega$   ................ Option a.