A potential difference of 3.95 V is applied across points a and b in the figure below. Find the current in each of the resistors, and the total current Itotal that the three resistors draw from the power source.
Homework Answers
The concepts used to solve this problem are Ohm’s law, resistors connected in parallel, current through each resistors, and total current of the system.
Initially use the ohm’s law to find the currents 
, 
, and 
through the resistors 
, and 
respectively.
Finally, use the currents of all three resistors to find the total current.
When resistors in parallel connection,
The current will breaks up, with some current passing along each parallel branch and re combines when the branches meet again.
The voltage across each resistor in parallel connection is the same.
Ohm’s law deals with the relationship between the voltage and current.
Ohm’s law states,
The potential difference across an ideal conductor is proportional to the current through it.
The expression for ohm’s law is,
Here, the voltage is 
, the current is 
, and the resistance is 
.
(1)
The expression for ohm’s law is,
By rearranging the expression, for the current in the resistor is,
The expression for the current in the resistor 
is,
Here, the current in the resistor of resistor is 
.
Substitute 
for 
and 
for .
(2)
The expression for the current in the resistor 
is,
Here, 
is the current in the resistor 
.
Substitute for and 
for .
(3)
The expression for the current in the resistor 
is,
Here, 
is the current in the resistor 
.
Substitute for and 
for .
(4)
The expression for the total current is,
Here, the total current is 
.
Substitute 
for 
, 
for 
, and 
for 
.
The current in the resistor 
is 
.
The current in the resistor 
is 
.
The current in the resistor 
is 
.
The total current 
in the circuit is 
.
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