Answer:
15. R = R₁ + R₂ + R₃
16. [tex]R = \dfrac{1}{R_1} +\dfrac{1}{R_2} = \dfrac{R_2 + R_1}{R_1 \cdot R_2}[/tex]
Explanation:
15. The equation for the sum of resistances arranged in series is given as follows;
[tex]R_{Network}[/tex] (Series) = R₁ + R₂ + R₃ + ... + [tex]R_N[/tex]
Therefore, the equation for the total resistance, 'R' of 3 series resistors is given as follows;
R = R₁ + R₂ + R₃
Where;
R₁, R₂, and R₃ are the three resistances arranged in series
16. The equation for the sum of resistances arranged in parallel is given as follows;
[tex]R_n = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} + ... + \dfrac{1}{R_n}[/tex]
Therefore, the total resistance, R, of two resistance arranged in parallel is given as follows;
[tex]R = \dfrac{1}{R_1} +\dfrac{1}{R_2} = \dfrac{R_2 + R_1}{R_1 \cdot R_2}[/tex]
