A number of resistors are connected as shown to a 12-Volt battery. a) How much c

Question

A number of resistors are connected as shown to a 12-Volt battery.

a) How much current does the battery supply?

b) What is the current through the 2.0-ohm resistors?

c) What is the current through the 3.0-ohm resistors?

d) What is the current through the 1.0-ohm resistors?

e) What is the voltage drop across the 2.0-ohm resistor?

f) What is the voltage drop across each of the 3.0-ohm resistors?

g) What is the voltage drop across each of the 10-ohmresistors?

A number of resistors are connected as shown to a 12-Volt battery. How much current does the battery supply? What is the current through the 2.0-ohm resistors? What is the current through the 3.0-ohm resistors? What is the current through the 1.0-ohm resistors? What is the voltage drop across the 2.0-ohm resistor? What is the voltage drop across each of the 3.0-ohm resistors? What is the voltage drop across each of the 10-ohmresistors?

Explanation / Answer

combine right three 1 + 1 +1 = 3

combine middle threes = 3 + 3 = 6

combine those in parallel
1/6 + 1/3 = 3/6 = 1/2
so R = 2

so total R = 2 + 2 = 4

a) V = IR
I = 12/4 = 3 A

b) 3 A

c) so voltage across parallel is 12 - 2*3 = 6 V

so V = IR for 6 ohms
I = 1 A



d) 6 = I*3
I = 2 A

e) V = 2*3 = 6V
f) V = 3*1 = 3 V
g) 2*1 = 2 V

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