Question

A 19 Ω resistor and a 4 Ω resistor are connected in series to an ideal 18 V battery.

A) Find the current in each resistor.
Answer in units of A.
B) Find the potential difference across the first resistor.
Answer in units of V.
C) Find the potential difference across the second resistor.
Answer in units of V.

Answer 1

Step-by-step explanation:

First Calculate Total Equivalent Resistance (Series) :

`R_(eq) = r_(1) + r_(2) = 23 \: ohms`

(A) Current in each resistor :

`I = (V)/(R) = 0.78 \: A`

(Since this is a series connection, the electric current is same through both resistor).

(B) Potential Difference across the first resistor :

`V = IR = 0.78 * 19 = 14.82 \: V`

(B) Potential Difference across the second resistor :

`V = IR = 0.78 * 4 = 3.12 \: V`