Question

determine the literal value answers for these problems. 149. the total voltage ($e_t$), in volts, of the circuit shown in figure 13 - 35 is represented as $x$. the amount of voltage taken by 5 of the 6 resistors is given as $e_{r_1}$ through $e_{r_5}$. figure 13 - 35 details 6 resistances r sub 1 to r sub 6 are connected in series. the voltage across each resistance is as follows. e sub r sub 1 = 0.10 x. e sub r sub 2 = 0.15 x. e sub r sub 3 = 0.20 x. e sub r sub 4 = 0.12 x. e sub r sub 5 = 0.18 x. e sub r sub 6 = question point. the total voltage e sub t = x. a. what is the sum of the voltage taken by $r_1$, $r_2$, $r_3$, $r_4$, and $r_5$?

Explanation:

Step1: Identify given voltages

$E_{R_1}=0.10x$, $E_{R_2}=0.15x$, $E_{R_3}=0.20x$, $E_{R_4}=0.12x$, $E_{R_5}=0.18x$

Step2: Calculate sum of voltages

$E_{R_1}+E_{R_2}+E_{R_3}+E_{R_4}+E_{R_5}=(0.10 + 0.15+0.20 + 0.12+0.18)x$
$=(0.75)x$

Answer:

$0.75x$