Question

Two resistors 3 ohm and unknown resistor are connected in a series across a 12V battery. If the voltage drop across the unknown resistor is 6V,find......(a)potential across 3ohm resistance. (b)the current through unknown resistor'R'. (c) equivalent resistance of the circuit.

Answer 1

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Answer 2

Answer:

Two resistors 3ohm and unknown resistor are connected in a series across a 12V battery. If

the voltage drop across the unknown resistor is 6V, find

a) potential difference across 3 ohm resistance

b) the current through unknown resistor ‘R’

c) equivalent resistance of the circuit.

Explanation:

You have 12V across all three resistors. There is 6V across the unknown resistor, therefore there must be 6V across both the 3 ohm resistors (6V + 6V = 12V). Since both resistors are the same (3 ohms), the voltage across each 3 ohm resistor would be 6/2 = 3V. 3V + 3V + 6V = 12V. The unknown resistor is 6 ohms since the voltage across the two 3 ohm resistors is 6V.