Battery 12v 9a

What is the resistance of A and B?
2 resistors A and B are connected in parallel across a 12v battery. The contemporary by means of B is found to be 1.9A. While the two resistors are attached in collection to the 12 V battery, a voltmeter connected throughout resistor A measures a voltage of seven.2V.
To find the resistance of B.
In finding the resistance of A.
Solution in instruments of Ohm's
.
Ra = 6.3ohms
Rb = nine.5ohms
Let me explain why, think about the 2 experimental setups described
(1) Series circuit.
Due to the fact that this can be a 12V series circuit, if 7.2V drops across resistor 'a' then four.8V drops across resistor 'b' (as Va+Vb = 12V)
Which means that the ratio of the voltages Va/Vb = 1.five.
and so the ratio of the resistors Ra / Rb = 1.5 additionally (Eqn 1)
(two) Parallel Circuit
By way of definition, the voltage is an identical across the two parallel legs of the circuit.
For resistor B V=12V, I=1.9A
As a result of V=IR , Rb = 12 / 1.9 = 6.3ohms
Using eqn 1 (above) then if Rb = 6.3ohms, then Ra = 1.five x Rb = 1.5 x 6.three = nine.5ohms
Ra = 6.3ohms
Rb = 9.5ohms
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