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Problem

Verify the energy unit equivalence that $1 \mathr…

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Manish H.

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96

Problem 47 Medium Difficulty

Show that the units $1 \mathrm{A}^{2} \cdot \Omega=1 \mathrm{W},$ as implied by the equation $P=I^{2} R$

Answer

$[\mathrm{W}]=\left[\mathrm{A}^{2} \cdot \Omega\right]$

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Video Transcript

In this particular problem, we need to prove that 1 per square ohm is equal to 1 watt. We'Ll start with the step a here since we know that b is equal to i square multiplied by r. So therefore, the unit of power can be calculated. As i write it in brackets, so watts is equal to that is ampere square multiplied by ohms step b would be by using ohm's law is equal to current into resistance multiplication. So i write it as v is equal to y into r. So, oh here it will be in brackets, r is equal to v over. I now we need to substitute units. We get therefore ohm for r v, 4 voltage and amperes for current and we'll mention this as the equation 1 step. In this case, we need to rewrite the unit of power, as so p is equal to p r square. Oh, and this we will consider as equation 2 now in the next set from equation. 1 put the value of ohm into equation 2. So therefore, we'll write it as p is equal to v square and the ratio of v upon a so. Ultimately, it will be a multiplication of v and a so therefore, p is equal to v into a step. T would be let us substitute 1 coulomb over 1, second for 1 ampere and 1 joules per 1 coulomb for 1 volt. Now solving this further we get since power is equal to ion to therefore p is equal to, for i will substitute 1 coulomb to 1. Second, multiplied by 1, joules per 1 comes here: 1 grom gets canceled and 1 joule per 1. Second, is the ratio that we get and which is equal to 1 watso? Ultimately, hence it is verified. It is verified that unit amperes ohm is equal to 1 at.

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Irina Lyublinskaya, Gregg Wolfe, Douglas Ingram , Liza Pujji

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Problem

Verify the energy unit equivalence that $1 \mathr…

Problem 47 Medium Difficulty

Show that the units $1 \mathrm{A}^{2} \cdot \Omega=1 \mathrm{W},$ as implied by the equation $P=I^{2} R$

Answer