Electric Circuits Answers

Two resistances 2Ω and 3Ω are in parallel. The combination is in series with 1.5Ω resistance and a power supply of voltage V. There is a current of 3A through the 2Ω resistance. What are the values of the current I delivered by, and the voltage V across the power supply?

A. 3A and 10.5V
B. 4A and 9V
C. 4A and 12V
D. 12A and 18V

Two wires P ad Q, each of the same length and same material, are connected in parallel to a battery. The diameter of P is half that of Q. What fraction of the total current passes through P?

A. 0.2
B. 0.25
C. 0.33
D. 0.5

A Wheatstone bridge ABCD (labeled in clockwise direction) with a galvanometer G joined to the junctions B and D. A cell E is connected across AC. Resistances of 15, 10, 4 and X ohms are inserted into the arms AB, BC, CD and DA respectively. The value of X is _________ ohms.

A. 2.67
B. 1.34
C. 3.22
D. 2.13

Two resistances 2Ω and 3Ω are in parallel. The combination is in series with 1.5Ê resistance and a power supply of voltage V. There is a current of 3A through the 2Ê resistance. What are the values of the current I delivered by, and the voltage V across the power supply?

A. 3A and 10.5V
B. 4A and 9V
C. 4A and 12V
D. 12A and 18V

In an experiment to determine the relationship between the current I through a piece of tungsten wire and the potential difference V across it, the theoretical relationship used was I=kV^n, where k and n are constants which may be obtained from a straight line graph of the form y = mx + c, the symbols having their usual meaning. The corresponding linear equation for this experiment is ________

A. I = nV + k
B. 4I=nV^2 + k
C. I=expV^n + k
D. logI = nlogV + logk

In an experiment with a potentiometer, the balanced length of 30cm was recorded when a standard cell (Daniel cell) of electromotive force E1=1.1V was introduced in the circuit. The standard cell was then replaced by a Leclanche cell and the balance length recorded was 40cm. The electromotive force E2 of the Leclanche cell is ________ to 1 place of decimal

A. 1.4V
B. 2.1V
C. 0.3V
D. 1.1V

Two resistances of 5Ω each are connected in series and then connected in parallel to a 0.5Ω resistance. What is the equivalent resistance

A. 1Ω
B. 2Ω
C. 3Ω
D. 4Ω

Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. One of them, of mass 7.50kg kg , is sliding to the left at 5.50m/s m/s , while the other, of mass 5.65kg kg , is slipping to the right at 5.50m/s m/s . They hold fast to each other after they collide.
1)Find the magnitude of the velocity of these free-spirited otters right after they collide..
2)How much mechanical energy dissipates during this play?