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Anna [14]
2 years ago
5

A 10 V battery is connected to a voltage divider circuit

Physics
1 answer:
Svetradugi [14.3K]2 years ago
5 0

Answer:

a) C. 7.5 V

b) A. 2.5 V

Explanation:

First, we find the total resistance of the circuit. A voltage divider circuit is a series circuit. Therefore, its total resistance will be the sum of individual resistances:

R = R_{1}+R_{2}\\R = 100\ \Omega + 300\ \Omega\\R = 400\ \Omega\\

a)

Now, we will apply the voltage divider rule on this circuit to find the voltage across the 300 Ω Resistor (R₂):

V_{2} = R_{2}\frac{V}{R}\\\\V_{2} = (300\ \Omega)\frac{10\ V}{400\ \Omega}\\\\

V₂ = 7.5 V

Therefore, the correct option is:

<u>C. 7.5 V</u>

<u></u>

b)

Now, the voltage across the 100 Ω Resistor (R₁) will be:

V = V_{1}+V_{2}\\V_{1} = V-V_{2}\\V_{1} = 10\ V - 7.5\ V\\V_{1}=2.5\ V

Therefore,the correct option is:

<u>A. 2.5 V</u>

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Estimate the acceleration you subject yourself to if you walk into a brick wall at normal walking speed. (Make a reasonable esti
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Explanation:

Using the average acceleration formula:

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We have by assuming that the walking speed is 2 m/s and the stop time is 0.1s which is equal to the change in time during the stopping.

\Delta v=v_f-v_i=0-2 m/s=-2 m/s, where v_i,v_f are the initial speed and final speed respectively, and \Delta t=0.1 s

Plugging the previous in the average acceleration formula we get

a=\frac{-2}{0.1}=-20\, m/s where the minus sign indicates an acceleration in the opposite direction of the motion (or in other word opposite to the speed's direction).

4 0
3 years ago
An information signal consists of a 25 Hz and a 75 Hz sine waves summed together. It is sampled at a frequency of 500 Hz, the hi
denpristay [2]

Answer:

Explanation:

An information contains

25Hz and 75Hz sine wave

Sample frequency is 500Hz

The analogy signal are generally

y(t) = Asin(2πx/λ - wt), w=2πf

y1(t)=Asin(2πx/λ - wt)

y1(t)=Asin(2πx/λ - 2π•25t)

y1(t)=Asin(2πx/λ - 50πt)

Similarly

y2(t)=Asin(2πx/λ - 150πt)

Using Nyquist theorem

Nyquist Theorem states that in order to adequately reproduce a signal it should be periodically sampled at a rate that is 2 times the highest frequency you wish to record.

From sampling

f(nyquist)=f(sample)/2

f(nyquist)=500/2

f(nyquist)=250Hz

From signal

The highest frequency is 150Hz

F(nyquist) = 2×F(highest)

f(nyquist)= 2×150

f(nyquist)= 300Hz

Sample per frequency Ns is given as

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The highest resulting frequency is 300Hz

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7 0
2 years ago
Which statement is true for objects in dynamic equilibrium?
lakkis [162]

Answer:

The correct answer to the question is objects have zero acceleration.

Explanation:

Before answering the question, first we have to understand dynamic equilibrium .

A body moving with uniform velocity is said to be in dynamic equilibrium if the net external forces acting on the body is zero. Hence, the body is under balanced forces.

If the external forces acting on a body is not balanced, then the body will accelerate which will destroy its equilibrium condition. Hence, the necessary and sufficient condition for a body to be in dynamic equilibrium is that the forces are balanced.

When a body is in dynamic equilibrium, the body moves with uniform velocity along a straight line unless and until it is compelled by some external unbalanced forces.

Hence, the rate of change of velocity or acceleration of the body will be zero.

5 0
3 years ago
Read 2 more answers
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