the circuit shown, it is given that VBD = 14 Volts and VAD = 50 Volts. Find R.
Answers
Answer:
Power is related to current and resistance by P=I
2
R . The resistor that has the most current would be R
1
.
Since all the other resistor share a current that is split from the main current running from battery to R
1
Since R
eq
<R
1
, the most power is thus dissipated through R
1
option A is correct.
Explanation:
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The resistance would be 2 ohms
Given:
VBD = 14 Volts
VAD = 50 Volts
To Find:
Total resistance in the circuit.
Solution,
Let's assume the currents flowing in the circuit is 1 amp.
So,
By combining Ohm's Law and Power we get,
(R) [R= V/I] R = V/I
For VBD ,
(R1) [R1= V/I] R1 = V/I............. equation 1
By Putting the value of VBD in the equation 1 we get,
R1 = 1
For VAD ,
(R2) [R2= V/I] R2 = V/I............. equation 2
By Putting the value of VAD in the equation 2 we get,
R2 = 1
Therefore,
Total resistance R = R1 + R2
Hence, Total resistance of the circuit is 2 ohms