1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanzania [10]
3 years ago
7

Two identical resistors are connected in parallel across a 26-V battery, which supplies them with a total power of 7.1 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.
Physics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

A) R = 190.42 Ω

B) P = 5.325 W

Explanation:

We are given;

Total power;P_tot = 7.1 W

Voltage;V = 26 V

A)We are told that while the battery is still connected, one of the resistors is heated, so that its resistance doubles.

Thus, the power is doubled.

Now, formula for power is;

P = IV

Thus, since power is doubled, we have;

P = 2(IV)

Now, formula for current is; I = V/R

So, P = 2V²/R

Making R the subject, we have;

R = 2V²/P

In this question, P is p_total = 7.1 W

Thus;

R = (2 × 26²)/7.1

R = 190.42 Ω

B) Now, the resistance of the resistors are R and 2R.

Formula for power in this context is;

P = V²/R

Thus,

Total power delivered to the resistors is;

P = V²/R + V²/2R

P = 3V²/2R

P = (3 × 26²)/(2 × 190.42)

P = 5.325 W

You might be interested in
A third point charge q3 is now positioned halfway between q1 and q2. The net force on q2 now has a magnitude of F2,net = 14.413
natima [27]

Answer:

The value of  charge q₃ is 40.46 μC.

Explanation:

Given that.

Magnitude of net force F=14.413\ N

Suppose a point charge q₁ = -3 μC is located at the origin of a co-ordinate system. Another point charge q₂ = 7.7 μC is located along the x-axis at a distance x₂ = 8.2 cm from q₁. Charge q₂ is displaced a distance y₂ = 3.1 cm in the positive y-direction.

We need to calculate the distance

Using Pythagorean theorem

r=\sqrt{x_{2}^2+y_{2}^2}

Put the value into the formula

r=\sqrt{(8.2\times10^{-2})^2+(3.1\times10^{-2})^2}

r=0.0876\ m

We need to calculate the magnitude of the charge q₃

Using formula of net force

F_{12}=kq_{2}(\dfrac{q_{3}}{r_{3}^2}+\dfrac{q_{1}}{r_{1}^2})

Put the value into the formula

14.413=9\times10^{9}\times7.7\times10^{-6}(\dfrac{q_{3}}{(0.0438)^2}+\dfrac{-3\times10^{-6}}{(0.0876)^2})

(\dfrac{q_{3}}{(4.38\times10^{-2})^2}+\dfrac{-3\times10^{-6}}{(0.0876)^2})=\dfrac{14.413}{9\times10^{9}\times7.7\times10^{-6}}

\dfrac{q_{3}}{(0.0438)^2}=207\times10^{-4}+3.909\times10^{-4}

q_{3}=0.0210909\times(0.0438)^2

q_{3}=40.46\times10^{-6}\ C

q_{3}=40.46\ \mu C

Hence, The value of  charge q₃ is 40.46 μC.

5 0
3 years ago
An electric hoist does 500 joules of work lifting a crate 2 meters. How
LenKa [72]
Hope this answer helps
6 0
3 years ago
Bumper of a stationary bumper car. The momentum of the stationary car increases. Which happens to the momentum of the moving bum
Afina-wow [57]

Bumper of a stationary bumper car. The momentum of the stationary car increases. Which happens to the momentum of the moving bumper car? It decreases. It stays the same. It is converted to inertia.

Bumper of a stationary bumper car. The momentum of the stationary car increases. The momentum of the moving bumper car It is converted to inertia.

6 0
3 years ago
ELECTROMAGNETIC FIELDS PLAN AN INVESTIGATION LAB REPORT FOR EDG.!!!!! WORTH 100 POINTS????????
tekilochka [14]

Answer:ummm ok

Explanation:I really don’t get it but ok

3 0
3 years ago
The observation of a "wet spot" on a hot highway in the summer is caused by:_________.
maxonik [38]

Answer: Refraction

Explanation:

5 0
3 years ago
Other questions:
  • At a given time of​ day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4​-f
    13·1 answer
  • A cat weighing 5kg is climbing at the top of a tree and has potential energy at 1176kg. Find the height of the tree
    14·1 answer
  • If a person is throwing darts at a target in shoots three in a row in the same spot on the 20 section outer ring, but none in th
    5·2 answers
  • Need help on this one please
    5·1 answer
  • The speed of light is 3.0 x 108 m/s. How far does light travel in 2.4 minutes? Identify all variables, write a formula, show all
    13·1 answer
  • What simple machines would move or turn an object?
    14·1 answer
  • F= (9.3 x 105 )(4.2 x 10-15)
    8·1 answer
  • What technique is used by scientists to determine which of several explanations is the best explanation
    9·1 answer
  • A wheelchair moves upward on a 7.1 degree ramp at a speed of 20km/h what is the horizontal velocity
    9·1 answer
  • Which metals have similar chemical properties? Check all that apply.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!