Question

3-Calculate the total electric current of this circuit:

( ) 10.2 A
( ) 3.45 A
( ) 5.5 A
( ) 7.5 A

Answer 1

Answer:10.2

Step-by-step explanation:

Answer 2

• 7.5 A is the required electric current

Step-by-step explanation:

We are given with 4 resistors which are connected in parallel.

Let

R_1 =10Ω

R_2 = 12Ω

R_3 = 15Ω

R_4 = 20 Ω

First let's calculate the total resistance.

Since the resistors are connected in parallel, Total resistance will be,

`{\boxed{ \implies {\sf {(1)/(R_((total)) )= (1)/(R_1) + (1)/(R_2) + (1)/(R_3) + (1)/(R_4)}}}} \\`

Plugging in the required values,

`\implies \sf (1)/(R_((total))) = (1)/(10) + (1)/(12) + (1)/(15) + (1)/(20) \\ \\\implies \sf (1)/(R_((total))) = (6 + 5 + 4 + 3)/(60) \\ \\ \implies \sf (1)/(R_((total))) = (18)/(60) \\ \\ \implies \sf R_((total)) = (60)/(18) \\ \\ \implies \sf R_((total)) = 3.33`

Hence, The total resistance is 3.33 Ω

Now,

`\implies \sf I = (V)/(R)`

Where,

• I is current
• R is resistance
• V is voltage

Plugging the required values

`\implies` I = 25/3.33

`\implies` I = 7.5 A

Therefore, The total current in the circuit is 7.5 A