Question

How many 0.5WW resistors connected in parallel, each of the same resistance, must be used to produce an equivalent 4.0 kΩkΩ , 4.5 WW resistor?

Answer #1

Here we use parallel resistance connection concept and power formula.

As in parallel connection, voltage across all the resistors is equal and current is divided equally as the resistance of all the resistors is equal.

How many 0.5W resistors, each of the same resistance, must be
used to produce an equivalent 2.8 kΩ , 4.0 W resistor? What is the
resistance of each, and how must they be connected? Do not exceed P
= 0.5W in each resistor.
Part A. How must they be connected?
Part B. How many 0.5W resistors connected in series, each of the
same resistance, must be used to produce an equivalent 2.8 kΩ , 4.0
W resistor?
Part C. What...

Two resistors are connected in parallel.
a.) If a third resistor is now connected in parallel with the
original two, does the equivalent resistance of the circuit
increase, decrease, or remain the same?
b.) Choose the best explanation from among the
following:
1. The third resistor gives yet another path for current to flow
in the circuit, which means that the equivalent resistance is
less.
2. Adding a resistor generally tends to increase the resistance,
but putting it in parallel...

Two resistors connected in series have an equivalent resistance
of 668.7 ?. When they are connected in parallel, their equivalent
resistance is 141.4 ?. Find the resistance of each resistor.
(A) ______________ (Small Resistance)
(B) ______________ (Large Resistance)

Two resistors connected in series have an equivalent resistance
of 666 Ω. When they are connected in parallel, their equivalent
resistance is 136 Ω. Find the resistance of each resistor.
Ω (small resistance)
Ω (large resistance)

(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

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 1.00 ohms and 2.00 ohms are connected in parallel,
then they are connected to 3.00 ohms resistor and a 9.00 V battery
in series to complete a circuit.
a. What is the equivalent resistance of this circuit?
b. What is the current through the 1.00 Ohms resistor?
c. What is the voltage on 3.00 ohms resistor?
d. What is power dissipated on 2.00 ohm resistor?

Five resistors are connected purely in parallel to a battery of
24 volts. Three of these resistors are equal and the current
through each is I. The current through the fourth resistor is 3.6
times larger than I, and the current through the fifth resistor is
4.7 times smaller than I. What is the power dissipated, in Watts,
of the fifth resistor if the equivalent resistance of all five
resistors is 13 Ohms?
CORRECT ANSWER IS 26.1!!!!!

5 resistors having the same color code of green-black-orange are
connected in parallel and their combination is connected in series
with another group of 5 resistors having the same color code of
brown-black-red in series. The total equivalent resistance of their
combination is ____.

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.

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