Four resistors are connected to a battery as shown in the figure below. (b) Dete

Question

Four resistors are connected to a battery as shown in the figure below.

(b) Determine the current in each resistor in terms of I. (Use the following as necessary: I.)

?V1 =    ?V2 =    ?V3 =    ?V4 =    Four resistors are connected to a battery as shown in the figure below. epsilon.) ?V1 = ?V2 = ?V3 = ?V4 = (b) Determine the current in each resistor in terms of I. (Use the following as necessary: I.) I1 = I2 = I3 = I4 = epsilon for epsilon. (Use the following as necessary: (a) Determine the potential difference across each resistor in terms of

Explanation / Answer

remember these about Combination of Resistors

if R1 and R2 are the resistances connected in series then effective resiatcne Rnet = R1+R2

if R1 and R2 are connected in parallel, then 1/Rnet =1/R1 +1/R2 or Rnet =   R1R2/(R1+R2)

same current passes through each of the ressitor in series combination and

same votage passes through eacf of the resistor in parallel combination

apply ohms law V = iR

where V = volatge and i = current

so here 2R and 4R are in series, so R' = 6R

6R is in parallel with 3R

so R' = 6R * 3R/9R

R' = 2R

finally this 2R is in parallel with R
so

Rnet = 2R*R/3R = 0.667 ohms

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