Question

Three resistors of 2ohm,3ohm and 6ohm
What is the highest resistor that you get using all of them

Answer 1

Answer: The answer to this question is 11ohms.

Explanation:

You can get the maximum value of resistance when all the resistors are placed in series whereas,if you place them in parallel connection then you will get the minimum possible value.

Therefore,when you connect 2 ohm ,3 ohm and 6 ohm in a series connection then 2ohm+3ohm+6ohm=11ohms respectively.

Answer 2

"$\bf{ \pmb{ \underline{\gray{GIVEN}}}} \\ \sf \: \small{ Three \: resistors \: of \: 2 Ω, 3 Ω \: and \: 6 Ω \: are \: given \: respectively. }\\ \\ \\ \bf{ \pmb{ \underline{\gray{TO \: FIND }}}}\\ \rm \small{Least \: value \: of \: the \: three \: resistances. }\\ \\ \\ \bf { \pmb{ \underline{\gray{ SOLUTION}}}} \\ \tt \tiny{For \: the \: max \: value \: of \: the \: resistances, resistor \: are \: connected \: in \: \bf{\blue{Series \: Combination}} }\\ \tt \tiny{For \: the \: least \ value\ of \: the \: resistances, resistor \: are \: connected \: in\ \bf{\green{Parallel \: Combination}} } \\ \\ \cal \: \small{\red{Connect \: the \: resistor \: in \: parallel \: for \: getting \: least \: value :} }\\ \\ \begin{gathered}\small \rm R_{eq} = {R_1} + {R_2} + {R_3} \\ \\ \small \rm R_{eq} = 2+3+6 \\ \\ \large { \boxed{\bf \blue{R_{eq} = 1 1\ Ω}}}\end{gathered}$