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faltersainse [42]
2 years ago
7

A-Some resistors are labelled with a red band. This shows that their true resistance will be within 2, point, 0, percent,2.0% of

the value shown on the side. What is the largest current you would expect through a 15kΩ, 2.0% resistor when connected to a 5, point, 0, V,5.0V supply? Give your answer in m, A, mA.
B- When both of a car's red tail lamps are lit, this 'draws' a current of 0, point, 83, A,0.83A from the battery.Given that a car battery has a voltage of 12, V,12V, what is the resistance of each lamp? The lamps are wired in parallel.
Physics
1 answer:
tino4ka555 [31]2 years ago
4 0

A–The ratio of the voltage to the maximum resistor value gives the

largest current of 340.14 mA. In B–The lamp resistance is 28.9 Ω each.

Responses (approximate values):

A- The largest current is <u>340.14 mA</u>

B- The resistance of each lamp is 28.9 Ω

<h3>Which methods can be used to find the current and resistances?</h3>

The range of values of the resistor = ±2%

The magnitude of the given resistor, R = 15 kΩ

The voltage supply, V = 5.0 V

Required:

Largest current, <em>I</em>, expected through the resistor.

Solution:

Current, \, I = \mathbf{\dfrac{V}{R}}

The current is largest when the resistor's value is smallest, which gives;

  • Largest \ current, \, I_{max} = \mathbf{ \dfrac{ 5.0 \, V}{\left(15 - \frac{2}{100} \times 15 \right) \Omega}}  = \dfrac{50}{147} \, A \approx \underline{340.14 \,  mA}

B- Current drawn from car head lamps = 0.83 A

Voltage of the battery = 12 V

Required;

Resistance of each of the two lamps wired parallel.

Solution;

Let <em>R</em> represent the resistance of each lamp in the parallel connection,

we have;

Equivalent \ resistance, \, R = \mathbf{ \dfrac{1}{\frac{1}{R} + \frac{1}{R}  }} = \dfrac{R}{2}

Therefore;

\dfrac{R}{2} = \dfrac{12 \, V}{0.83 \, A}

  • The \ resistance \ of \ each \ lamp, \,  R = \dfrac{12 \, V}{0.83 \, A} \times 2 \approx \underline{28.9 \, \Omega}

Learn more about the calculations for the voltages and currents in a circuit here:

brainly.com/question/1372476

brainly.com/question/996480

brainly.com/question/868651

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