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Darina [25.2K]
2 years ago
3

A voltmeter with resistance RVRVR_V is connected across the terminals of a battery of emf EEEMF and internal resistance rrr. Fin

d the potential difference VmeterVmeterV_meter measured by the voltmeter.
Physics
2 answers:
pishuonlain [190]2 years ago
8 0

Answer:

V = E - Ir

Explanation:

According to ohms law which states that the current I passing through a metallic conductor at constant temperature is directly proportional to the potential difference V across its ends. Mathematically,

V = IR... (1)

or E = IRt ... (2)

where;

V is the potential difference across the resistance R

E is the source voltage known as the electromotive force

I is the current

Rt is the effective resistance.

If a voltmeter with resistance Rohms is connected across emf E and internal resistance r, the external resistance and internal resistance will be in series with each other and their equivalent resistance Rt = R+r... (3)

Substituting equation 3 into equation 2 will give;

E = I(R+r)

E = IR+Ir ... (4)

Note that from equation 1, the potential difference V = IR

Substituting V = IR into equation 4 will result into;

E = V+Ir

V = E-Ir

The fore the potential difference V measured by the voltmeter is;

V = (E-Ir) meters

Rashid [163]2 years ago
5 0

Answer:

Explanation:

Given:

Battery emf = E

Resistance of the voltmeter = R

Internal resistance = r

E = I× (R + r)

E = IR + Ir

Using ohms law,

Potential difference, V = IR

E = V + Ir

Making V the subject of formula,

V = E - Ir

Potential difference, V = E - Ir

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denpristay [2]

Answer:

10.347 minutes.

Explanation:

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F = 0.67Kg*12m/s^{2} = 8.04N, assuming it took her one second to accelerate camera to 12m/s, then by newtons third law, which says every action has equal and opposite reaction , the camera exerts the same amount of force on the astronaut which gives her acceleration of a = \frac{8.04N}{70.2Kg} = 0.1130801680m/s^2.

and velocity of V = 0.1130801680m/s.

at this velocity , the astronaut has to cover the distance of 70.2 meters, it will take her 620.7985075s = 10.347 min to get to the shuttle (using S = vt).

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2 years ago
A 12-volt battery causes 0.60 ampere to flow through a circuit that contains a lamp and a resistor connected in parallel. The la
san4es73 [151]
The answer to this question is A
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1 year ago
Charge is placed on two conducting spheres that are very far apart and connected by a long thin wire. The radius of the smaller
kobusy [5.1K]

Answer:

σ₁ = 3.167 * 10^{-6} C/m²

σ₂ = 7.6 * 10 ^{-6}  C/m²

Explanation:

The given data :-

i) The radius of smaller sphere ( r ) = 5 cm.

ii) The radius of larger sphere ( R ) = 12 cm.

iii) The electric field at of larger sphere  ( E₁ ) = 358 kV/m. = 358 * 1000 v/m

E_{1} = (\frac{1}{4\pi\epsilon  }) (\frac{Q_{1} }{R^{2} } )

358000 = 9 * 10^{9 } *\frac{Q_{1} }{0.12^{2} }

Q₁ = 572.8 * 10^{-9} C

Since the field inside a conductor is zero, therefore electric potential ( V ) is constant.

V = constant

∴\frac{Q_{1} }{R} = \frac{Q_{2} }{r}

Q_{2}  = \frac{r}{R} *Q_{1}

Q_{2} = \frac{5}{12} *572.8*10^{-9}   = 238.666 *10^{-9} C

Surface charge density ( σ₁ ) for large sphere.

Area ( A₁ )  = 4 * π * R²  = 4 * 3.14 * 0.12 = 0.180864 m².

σ₁  = \frac{Q_{1} }{A_{1} } = \frac{572.8 *10^{-9} }{0.180864} = 3.167 * 10^{-6}  C/m².

Surface charge density ( σ₂ ) for smaller sphere.

Area ( A₂ )  = 4 * π * r²  = 4 * 3.14 * 0.05²  =0.0314 m².

σ₂ =\frac{Q_{2} }{A_{2} } = \frac{238.66 *10^{-9} }{0.0314} = 7.6 * 10 ^{-6} C/m²

8 0
2 years ago
A uniform magnetic field makes an angle of 30o with the z axis. If the magnetic flux through a 1.0 m2 portion of the xy plane is
Irina18 [472]

Answer:

(b) 10 Wb

Explanation:

Given;

angle of inclination of magnetic field, θ = 30°

initial area of the plane, A₁ = 1 m²

initial magnetic flux through the plane, Φ₁ =  5.0 Wb

Magnetic flux is given as;

Φ = BACosθ

where;

B is the strength of magnetic field

A is the area of the plane

θ is the angle of inclination

Φ₁ = BA₁Cosθ

5 = B(1 x cos30)

B = 5/(cos30)

B = 5.7735 T

Now calculate the magnetic flux through a 2.0 m² portion of the same plane

Φ₂ = BA₂Cosθ

Φ₂ = 5.7735 x 2 x cos30

Φ₂ = 10 Wb

Therefore, the magnetic flux through a 2.0 m² portion of the same plane is is 10 Wb.

Option "b"

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Answer:

it is essential that the charge on the plates are of the same magnitude, but in the opposite direction

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