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monitta
3 years ago
7

2. Four resistors of 2 ohm each are connected first in series and then in parallel with a battery.Find the ratio of electric cur

rent In series and parallel connection.
Physics
2 answers:
Serjik [45]3 years ago
4 0

Answer:

Ratio of series current to parallel

= 1 : 8

Explanation:

Total resistance Rt

For series, Rt = 2+2+2+2 = 4ohms

For parallel, 1/Rt = 1/2 + 1/2 + 1/2 + 1/2

1/Rt = 4/2, Rt = 2/4 ohms.

If we use a 1V battery, then,

I = V/Rt

I = 1/4 = 0.25 ampere for series arrangement.

I = 1/0.5 = 2 ohms.

Ratio of current of series to parallel = 0.25 : 2

= 1 : 8

noname [10]3 years ago
4 0

Answer:

The ratio of electric current in series and in parallel connection is 0.0625

Explanation:

Here we have for the series resistors

∑R_s = R₁ + R₂ + R₃ + R₄ = 8 Ω

The current is gotten from

V = IR

I_s = V/R_s = V/8 Ω

For the parallel connected resistors we have

\frac{1}{\Sigma R_p} = \frac{1}{R_1} +\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}

Which gives

\frac{1}{\Sigma R_p} = \frac{1}{2} +\frac{1}{2}+\frac{1}{2}+\frac{1}{2} = \frac{4}{2} = 2

Therefore,

\Sigma R_p = \frac{1}{2}=0.5\hspace{0.09cm} \Omega

From which,

I_p=\frac{V}{R_p} = V/0.5 Ω

The ratio between the series and parallel connection electric current  is therefore,

\frac{I_s}{I_p} = \frac{\frac{V}{8\hspace{0.09cm}\Omega} }{\frac{V}{0.5\hspace{0.09cm}\Omega} }  = \frac{V}{8\hspace{0.09cm}\Omega} \times \frac{0.5\hspace{0.09cm}\Omega}{V}  = \frac{0.5\hspace{0.09cm}\Omega}{8\hspace{0.09cm}\Omega}  = 0.0625.

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