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A circuit has a 2Ω resistor in series with a 4Ω resistor. What is the total resistance of the circuit?

2 Answers

5 votes

Answer :

  • Total resistance of the circuit is 6Ω

Explaination :

The circuit is of series which has a resistor of 2Ω and 4Ω respectively.

As we know that, if n resistances joined in series are
\sf{R_1 \: + \:R_2 \: + \: R_3 \: ... \: R_n} [\tex] , the equivalent resistance is given as : </p><p>[tex]\boxed{ \red{\bf{R_s \: = \: R_1 \: + \:R_2 \: + \: R_3 \: ... \: R_n}}}

Now,


  • \sf{R_1 \: = 2Ω}

  • \sf{R_2 \: = 4Ω}

Putting the values in it,


\implies \: \sf{R_s \: = \: 2Ω \: + \: 4Ω}


\implies \: \bf{R_s \: = \: 6Ω}


\underline{\bf{ \therefore Total \: resistance \: of \: the \: circuit \: is \: 6Ω }}

User Tnoda
by
5.0k points
3 votes

Answer: 6Ω

Step-by-step explanation:

Since the resistors are connected in series, the total resistance (Rtotal) of the circuit is the sum of each resistance.

i.e Rtotal = R1 + R2

R1 = 2Ω

R2 = 4Ω

Rtotal = ?

Rtotal = 2Ω + 4Ω

Rtotal = 6Ω

Thus, the total resistance of the circuit is 6Ω

User Neel Bhanushali
by
4.5k points