Physics, asked by 2003danveer, 2 months ago

the maximum resistance which can be made using
four resistors each of resistance 1/2 ohm is
options :-
(a) 2 ohms
(b)
1 ohms
(c)
2.5
ohm
s
(d) 8ohms​

Answers

Answered by BrainlyTwinklingstar
11

Given :

Four resistors each of resistance 1/2 Ω i.e.,

  • R₁ = 1/2 ohms
  • R₂ = 1/2 ohms
  • R₃ = 1/2 ohms
  • R₄ = 1/2 ohms

To find :

The maximum resistance of the resistors connection.

Solution :

The maximum resistance can be obtained when it is connected in series.

» The combined resistance of any number of resistance connected in series is equal to the sum of the individual resistances. i.e.,

\boxed{\bf R_{max} = R_1 + R_2 + R_3 + R_4}

By substituting the values,

\dashrightarrow\sf R_{max} = R_1 + R_2 + R_3 + R_4

\dashrightarrow\sf R_{max} =  \dfrac{1}{2}  +  \dfrac{1}{2}  +  \dfrac{1}{2}  +  \dfrac{1}{2}

\dashrightarrow\sf R_{max} =  \dfrac{1 + 1 + 1 + 1}{2}

\dashrightarrow\sf R_{max} =  \dfrac{4}{2}

\dashrightarrow\sf R_{max} =  2 \: ohms

Thus, the maximum resistance obtained is 2 ohms.

Hence, option (a) 2 ohms is correct.

Remember !

SI unit of resistance is ohms.

Answered by Anonymous
102

Given :-

Four resistors each of resentence 1/2 Ω i.e.,

  •  {\sf{R_{1} }} = 1/2 ohms
  •  {\sf{R_{2}}} = 1/2 ohms
  •  {\sf{R_{3}}} = 1/2 ohms
  • {\sf{ R_{4}}} = 1/2 ohms

To find :-

  • The maximum resistance of the resistors connection.

Solution :-

The maximum resistance can be obtained when it is connected in series.

➝The combination resistance of any number of resistance connected in series is equal to the sum of the individual resistance. i.e.,

{\bf\green{★}} \boxed{\bf{R_{max} = R_{1} + R_{2} + R_{3} + R_{4}}} {\bf\red{★}}

By substituting the values ,

\implies\bf {\sf{R_{max} = R_{1} + R_{2} + R_{3} + R_{4}}}

\implies\bf  {\sf{R_{max} = \frac{1}{2}  +   \frac{1}{2}  +  \frac{1}{2}  +  \frac{1}{2} }}

\implies\bf  {\sf{R_{max} = \frac{1  \: + 1 \:  + 1  \: + 1}{2} }}

\implies\bf  {\sf{R_{max} = \frac{4}{2} }}

\implies\bf  {\sf{R_{max} = 2 \: ohms}}

Thus, the maximum resistance obtained is 2 ohms.

Hence,

  • Option (a) 2 ohms \large{\bf\green{✓}} is correct.

Remember :

  • Sl unit is resistance is ohms.
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