Electricity problem from Jan. 1959 issue of QST; Using Ohm's law find.
"There are three (3) resistors in series, but you only know three things: R1 has a value of 2 Ohms, R2 dissipates 2 Watts, and R3 has a voltage drop of 2 volts across it. Given that the power supply is a 10.5 Volt battery, how can you puzzle out the value of R2 and R3, as well as the current, I?
Hint: Don't be surprised that there may be more than one solution.
\[I ^{2}*R2=P2=2wats,so I=\sqrt{P2/R2}\] ,where I is current,P2 is power dissipation of R2 resistor,R2 resistane of R2 resistor,Ubattery=U3+I*R1+I*R2,where Ubattery is 10.5 U3 is 2V,R1 is 2 Ohms,and from there its quadratic journey to unknown yet still reachable positive solution of R2
Yes it results in a quadratic thus the two solutions.
|dw:1440505617227:dw|
Join our real-time social learning platform and learn together with your friends!