Which of the following must be true?

Question

If two resistors R1 and R2 (R2>R1) are connected in series

I1--------I2-------I3

>>> R1>>>R2 >>>

--a--/\/\--b--/\/\--c--

A) I1=I2=I3

B)The current is greater in R1 than in R2.

C)The electrical power consumption is the same for both resistors.

D)The electrical power consumption is greater in R2 than in R1.

E)The potential drop is the same across both resistors.

F)The potential at point a is the same as at point c.

G)The potential at point b is lower that at point c.

H)The potential at point c is lower than at point b.

Answer 1

A is true (since it's the -definition- of a series circuit).

B is certainly false (look at Kirchoffs 1'st Law and the definition of a series circuit)

C is false (P = I^2 * R according to Charlie Ohm)

D is true (since I is constant and R2 > R1)

E is false (again, good old Charlie Ohm)

F is false (Kirchoffs 2'nd Law)

One of G or H is true, but which one depends on the direction of current flow.  If electron flow is left to right then G is true.  If it's right to left, then H is true.

Now get busy and learn Ohms Laws and Kirchoffs Laws and how to apply them ☺

HTH,

Doug

Answer 2

a) is true because the same current flows in both

b) false

c) possible, but not necessary

d) possible, but not necessary

e) possible, but not necessary

f) possible, but not necessary, depends on how the battery is connected.

g) possible, but not necessary, depends on how the battery is connected.

h) possible, but not necessary, depends on how the battery is connected.

.

Answer 3

A) is the only one that absolutely must be true

H) must be true _unless_ "resistor"  R2 has zero resistance, while it may not make much sense to call R2 a "resistor" if its resistance is zero, if it was zero then H) would be false, so I'm not sure we can say it "must" be true.

B) must be false.

a few of the others could be true for certain values of resistors, but would be false for other values

[EDIT] Oops! I really have to read more carefully, I missed the (R2>R1), so as the second answer said, D) must be true, and  it the >>> represents "conventional" current then H) must be true, no exceptions, because if the resistance of R2 was zero it could not be > R1

(if the >>> represents electron flow, then H) is false and G) is true like  Doug said)

And my comment about some others being true for some values of R1 and R2 is not true, because I was thinking of both being equal (and possibly both zero)

[2nd EDIT] that's funny, Bill seems to have made the same mistake I did (but several hours after Doug gave the right answer and after I admitted my mistake)  the question says (R2>R1)