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Chapter 17: Q59P (page 473)

Question: (I) Write the decimal number 116 in binary.

Short Answer

Expert verified

The binary equivalent of 116 is 1110100.

Step by step solution

01

Understanding of digital electronics

Digital electronics is used to convert an analog signal voltage to a digital voltage in terms of binary codes. There are two possibilities for each bit, 0 and 1.

02

Given data

The decimal number is 116.

03

Determination of the binary equivalent

To find the binary equivalent of any decimal number, you have to divide it by 2 repeatedly.

The binary equivalent of 116 is as follows,

Thus, the binary equivalent of 116 is 1110100.

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Most popular questions from this chapter

(III) How much voltage must be used to accelerate a proton (radius \({\bf{1}}{\bf{.2 \times 1}}{{\bf{0}}^{{\bf{ - 15}}}}\;{\bf{m}}\)) so that it has sufficient energy to just “touch” a silicon nucleus? A silicon nucleus has a charge of \( + 14e\), and its radius is about \({\bf{3}}{\bf{.6 \times 1}}{{\bf{0}}^{{\bf{ - 15}}}}\;{\bf{m}}\). Assume the potential is that for point charges.

(I) How much work does the electric field do in moving a\( - 7.7{\rm{ }}\mu C\)charge from ground to a point whose potential is\( + 65 V\)higher?

(III) A \({\bf{2}}{\bf{.50}}\;{\bf{\mu F}}\) capacitor is charged to 746 V and a \({\bf{6}}{\bf{.80}}\;{\bf{\mu F}}\) capacitor is charged to 562 V. These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. What will be the potential difference across each and the charge on each? [Hint: Charge is conserved.]

(II) If a capacitor has opposite \({\bf{4}}{\bf{.2}}\;{\bf{\mu C}}\) charges on the plates, and an electric field of \({\bf{2}}{\bf{.0}}\;{\bf{kV/mm}}\) is desired between the plates, what must each plate’s area be?

(II) How strong is the electric field between the plates of a \({\bf{0}}{\bf{.80}}\;{\bf{\mu F}}\) air-gap capacitor if they are 2.0 mm apart and each has a charge of \({\bf{62}}\;{\bf{\mu C}}\)?
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