Question

Please help me, Engineering.

Answer 1

15. R = R₁ + R₂ + R₃

16.
`R = (1)/(R_1) +(1)/(R_2) = (R_2 + R_1)/(R_1 \cdot R_2)`

Step-by-step explanation:

15. The equation for the sum of resistances arranged in series is given as follows;

`R_(Network)` (Series) = R₁ + R₂ + R₃ + ... +
`R_N`

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;

`R_n = (1)/(R_1) + (1)/(R_2) + (1)/(R_3) + ... + (1)/(R_n)`

Therefore, the total resistance, R, of two resistance arranged in parallel is given as follows;

`R = (1)/(R_1) +(1)/(R_2) = (R_2 + R_1)/(R_1 \cdot R_2)`