A battery having an emf of 9.63 V delivers 118 mA when connected to a 60.0 Ω load. Determine the internal resistance of the battery.

Respuesta :

Answer:

21.6 ohm

Explanation:

We are given that

EMF=E=9.63 V

Current=I=118 mA=[tex]118\times 10^{-3} A[/tex]

[tex]1 mA=10^{-3} A[/tex]

Resistance=[tex]R=60\Omega[/tex]

We have to find the internal resistance of the battery.

We know that

[tex]V=E-Ir[/tex]

We know that V=IR

[tex]IR=E-Ir[/tex]

[tex]IR+Ir=E[/tex]

[tex]I(R+r)=E[/tex]

[tex]R+r=\frac{E}{I}[/tex]

Substitute the values

[tex]60+r=\frac{9.63}{118\times 10^{-3}}[/tex]

[tex]60+r=81.6[/tex]

[tex]r=81.6-60[/tex]

[tex]r=21.6\Omega[/tex]

Hence, the internal resistance of the battery=21.6 ohm

Answer:

21.6 ohm

Explanation:

EMF of the battery, E = 9.63 V

Current, i = 118 mA = 0.118 A

Resistance, R = 60 ohm

Let the internal resistance of the cell is r.

[tex]i = \frac{E}{R + r}[/tex]

R + r = 9.63 / 0.118

60 + r = 81.6

r = 21.6 ohm

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