You are working in a biology lab during your summer break. Your supervisor asks you to perform an experiment to find the effective spring constant (in N/m) of a partial molecule of DNA (deoxyribonucleic acid). You perform experiments and find that a single straight portion of a DNA molecule is 2.32 µm long. You then perform an activity that charges the ends of the molecule; each end becomes singly ionized: negative on one end, positive on the other. After the ends are charged, the molecule shrinks by 1.25% of its length. Use the particle in equilibrium model to balance the electric and elastic forces on a particle at one of the ends of the molecule. N/m

Q: A switc is closed to connect an uncharged capacitor of capacitance C = 0.25 µF to a battery of pote.…

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Q: How much voltage must be used to accelerate a proton (radius 1.2×10−15m1.2×10−15m) so that it has…

A: potential energy due to two point charges U = kq1 q2 /r2

Q: An electric dipole, consisting of the charges of magnitude q = 2.0x10-6 C separated by 2.4 mm is in…

A: Given, charge q=2.0 x 10-6 C distance d=2.4 mm Electric field E=100 kN/C

Q: An isolated charged soap bubble of radius Ro = 7.75 cm is at a potential of Vo = 275.0 volts. If the…

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Q: The electric field in a thunderstorm is approximately 105 V/m and the potential difference between…

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Q: In a cell membrane with a thickness of 4.5 nm there is an electric field of 1.4 x 10 ^ 7 V / m…

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Q: A charge of 81 pC is distributed on an isolated spherical conductor that has a radius of 4 cm .…

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Q: A 12.0 V battery-operated bottle warmer heats 50.0 g of glass, 2.50×102 g of baby formula, and…

A: a) Charge moved by 50.0g of glass,

Q: A 12.0-V battery-operated bottle warmer heats 50.0 g of glass, 2.50 × 102 g of baby formula, and…

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Q: The constants in these equations are α = 5.2 V/m^5 and γ = 1.1 V/m^8. Using this…

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Q: Three charges are in a line.  One charge has size 2.6 x 10-4 C and is located at x = -6.2 m.…

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Q: A 12.0 V battery-operated bottle warmer heats 50.0 g of glass, 2.50×102 g of baby formula, and…

A: The expression for the moving charge by 50 g of glass, q1=m1c1∆TV   Substitute, q=50 g0.84…

Q: A spark plug in a car engine consists of two metal conductors separated by a distance of 0.75 mm.…

A: Potential difference is

Q: A lightning bolt strikes a White Pine tree, depositing 5.0 GJ of energy into it. The potential…

A: SOlution: given that U = 5 GJ V = 17 MV a). calculate the amount of charge b). calculate the change…

Q: Three charges are located as follows: A charge q₁ 5.6 x 10 °C at the origin. A charge 92 = -2.53 ×…

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Q: Suppose that an electric field has the following components: Ex=6x^2yz^2, Ey=2x^3z^2+2yz,…

A: Ans:- Image-1

Q: A potential difference of 106 mV exists between the inner and outer surfaces of a cell membrane. The…

A: Work done in terms of Potential difference and charge is given by the formula: W=q×∆Vwhere, q is the…

Q: A cloud has a potential difference relative to a car of 7.66 x 108 volts. During a lightning storm,…

A: The potential difference between the cloud and the car is 7.66 x 10^8 volts, and a charge of 19.3…

Q: A spherical conductor with a 0.353 m radius is initially uncharged. How many electrons should be…

A: The given values are, r=0.353 mV=4.30 kV=4.30×103 V

Q: A positive unit charge is at a distance of 200 pm from a molecule of hydrochloric acid. Find the…

A: The expression for the potential energy of the system is as follows: U=-kepqr2U=-9×109N·m2/C21.3…

Q: A 12-volt battery is attached to two parallel metal plates. The dimensions of each plate are 20 cm…

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Q: A particle of mass 6 × 10−5 kg and charge 6 µC moves downward from point A to point B a distance of…

A: The expression for the work done on a charged particle is written as, Here, q and ΔV represent the…

Q: In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha…

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Q: What is the magnitude, in volts, of the maximum potential difference between two parallel conducting…

A: Given: The strength of the electric field is 3x106 V/m. The separation between plates is 0.51 cm.

Q: A solid conducting sphere with a 11 cm radius sits inside a hollow conducting sphere witha 13 cm…

A: The objective of the question is to find the charge on the conductors of the configuration. The…

Q: The voltage across a membrane forming a cell wall is 78.7 mV and the membrane is 8.52 nm thick. What…

A: Given data:  Voltage (V) = 78.7 MV = 78.7×10-3 V Thickness (d) = 8.52 nm = 8.52×10-9 m Required: The…

Q: (a) Find the Electric Field at P. 24,900 V/m (b) How much work is required to move 92 to infinity?…

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Q: Nerve cells in your body can be electrically stimulated; a large enough change in a membrane…

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Q: What is the thickness of a specific cell membrane if we measure a constant electric field of 3.0…

A: The constant electric field, E=3.0 mV/m The potential across the cell membrane, V=30 mV

Dielectric Constant Of Water

Water constitutes about 70% of earth.  Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.

Electrostatic Potential and Capacitance

An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.