Question

Three resistors are connected in series across a battery. The
value of each resistance and its maximum power rating are as
follows: 4.2Ω and 22.5 W, 25.6Ω and 13.1 W, and 21.7Ω and 10.4 W.
**(a)** *What is the greatest voltage that the
battery can have without one of the resistors burning up?*
**(b)** *How much power does the battery deliver to
the circuit in (a)?*

Answer #1

Three resistors are connected in series across a battery. The
value of each resistance and its maximum power rating are as
follows: 5.4Ω and 28.3 W, 33.8Ω and 9.33 W, and 15.1Ω and 12.6 W.
(a) What is the greatest voltage that the battery can have without
one of the resistors burning up? (b) How much power does the
battery deliver to the circuit in (a)?

Three resistors are connected in series across a battery. The
value of each resistance and its maximum power rating are as
follows: 5.3Ω and 23.4 W, 41.6Ω and 11.2 W, and 12.7Ω and 10.9 W.
(a) What is the greatest voltage that the battery can have without
one of the resistors burning up? (b) How much power does the
battery deliver to the circuit in (a)?

Interactive Solution 20.47 provides one approach to problems
like this one. Three resistors are connected in series across a
battery. The value of each resistance and its maximum power rating
are as follows: 5.0Ω and 24.5 W, 38.3Ω and 12.0 W, and 13.4Ω and
13.9 W. (a) What is the greatest voltage that the
battery can have without one of the resistors burning up?
(b) How much power does the battery deliver to the
circuit in (a)?

Interactive Solution 20.47 provides one approach to problems
like this one. Three resistors are connected in series across a
battery. The value of each resistance and its maximum power rating
are as follows: 6.2Ω and 22.7 W, 33.8Ω and 12.7 W, and 14.7Ω and
10.1 W. (a)What is the greatest voltage that the
battery can have without one of the resistors burning up?
(b) How much power does the battery deliver to the
circuit in (a)?
*** The answers are...

Series/Parallel Circuits: When unequal resistors are connected
in series across an ideal battery,
the same power is dissipated in each one.
the potential difference across each is the same.
the equivalent resistance of the circuit is equal to the
average of all the resistances.
the current flowing in each is the same.
the equivalent resistance of the circuit is less than that of
the smallest resistor.

Two resistors with values of 25 ohm and 35 ohm, respectively,
are connected in series and hooked to a 12-V battery. a) There are
0.20 A current in the circuit b) There is 2.4 W power expended in
the circuit. There is a box full of 25 Ohm and 35 Ohm resistors.
How many resistors would be needed to make an equivalent resistance
of 170 Ohm? How much power is dissipated in the 170 Ohm equivalent
resistance if connected to...

Two identical resistors are connected in parallel across a 27-V
battery, which supplies them with a total power of 6.9 W. While the
battery is still connected, one of the resistors is heated so that
its resistance doubles. The resistance of the other resistor
remains unchanged. Find (a) the initial resistance of each
resistor, and (b) the total power delivered to the resistors after
one resistor has been heated.

(a) What is the equivalent resistance of six resistors connected
in series with an 18.0-V battery if each resistor has a value of
20.0 Ω?
_______Ω
(b) Determine the current flowing through each of the six
resistors.
_______A
(c) If the six resistors were instead connected in parallel across
the battery, what would be the equivalent resistance?
_________ Ω
(d) Determine the current through each resistor for this parallel
connection.
_________A

A circuit consists of three resistors,
R1<R2<R3R1<R2<R3,connected in series to a battery.
A)Rank these resistors in order of decreasing current through
them.
B)Rank these resistors in order of decreasing potential
difference across them.

When two unknown resistors are connected in series with a
battery, the battery delivers 255 W and carries a total current of
5.00 A. For the same total current, 40.5 W is delivered when the
resistors are connected in parallel. Determine the values of the
two resistors.
_____Ω (higher resistance)
_____Ω (lower resistance)

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