A 9.00 V storage battery is connected to three resistors, 6.00 Ω, 15.0 Ω, and 23.0 Ω, respectively. The resistors are joined in series. Calculate the equivalent resistance. Answer in units of Ω.

Respuesta :

Answer:

[tex]44\Omega[/tex]

Explanation:

When N resistors are placed in series, they are placed along the same branch of the circuit, and the current flowing through them is the same.

The equivalent resistance of a series of N resistors is given by

[tex]R=R_1+R_2+...+R_N[/tex]

So, it is equal to the sum of the individual resistances.

In this problem, the three resistor's resistances are:

[tex]R_1=6.00\Omega\\R_2=15.0\Omega\\R_3=23.0\Omega[/tex]

Therefore, the equivalent resistance of the circuit is:

[tex]R=6+15+23=44\Omega[/tex]

So, the circuit has an equivalent resistance of 44 Ω.