Question

calculate
i. the resultant resistance
ii. the total current
iii. the voltage across 7 resistor

Answer 1

Answer:

First Let's Solve Parallel Resistors

$\frac{1}{R} = \frac{1}{5} + \frac{1}{10}$

$\frac{1}{R} = \frac{2+1}{10}$

$\frac{1}{R} = \frac{3}{10}$

$\frac{R}{1} = \frac{10}{3}$

Parallel Resistance (Total) = $\frac{10}{3}$

Now another resistance 7 ohm is connected in series.

Total Resistance of circuit = 7 + $\frac{10}{3}$

= $\frac{31}{3}$

(i) Resultant Resistance = $\frac{31}{3}$ ohm = 10.33 ohm

(ii) I = $\frac{V}{R}$

I = $\frac{18}{31}$ A = 0.58 A

(iii) V = I x R

V = $\frac{18}{31} \times 7$

V = $\frac{126}{3}$ V = 4.06 V

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