in exercises 23 through 44 convert each of the following units. express answers to three significant…

in exercises 23 through 44 convert each of the following units. express answers to three significant digits.\n23. 594 to w\n24. 6.50 mω to kω\n25 0.0000453 a to μa\n26. 5,670,000 v to mv\n27. 670 pf to nf\n28. 0.0560 ms to μs\n29. 560 mm to cm\n30. 0.000593 km to cm\n31. 3.20 × 10⁴ v to kv
Answer
Explanation:
Step1: Recall unit - conversion factors
Use the following conversion factors: $1\ M\Omega = 10^{3}\ k\Omega$, $1\ A=10^{6}\ \mu A$, $1\ MV = 10^{6}\ V$, $1\ nF = 10^{3}\ pF$, $1\ ms=10^{3}\ \mu s$, $1\ cm = 10\ mm$, $1\ km = 10^{5}\ cm$, $1\ kV=10^{3}\ V$.
Step2: Solve problem 23
The value $594$ is already in watts (W), so the answer is $594\ W$.
Step3: Solve problem 24
We know that $1\ M\Omega = 10^{3}\ k\Omega$. So, $6.50\ M\Omega=6.50\times10^{3}\ k\Omega = 6500\ k\Omega$.
Step4: Solve problem 25
Since $1\ A = 10^{6}\ \mu A$, then $0.0000453\ A=0.0000453\times10^{6}\ \mu A = 45.3\ \mu A$.
Step5: Solve problem 26
Since $1\ MV = 10^{6}\ V$, then $5670000\ V=\frac{5670000}{10^{6}}\ MV = 5.67\ MV$.
Step6: Solve problem 27
Since $1\ nF = 10^{3}\ pF$, then $670\ pF=\frac{670}{10^{3}}\ nF = 0.670\ nF$.
Step7: Solve problem 28
Since $1\ ms = 10^{3}\ \mu s$, then $0.0560\ ms=0.0560\times10^{3}\ \mu s = 56.0\ \mu s$.
Step8: Solve problem 29
Since $1\ cm = 10\ mm$, then $560\ mm=\frac{560}{10}\ cm = 56.0\ cm$.
Step9: Solve problem 30
Since $1\ km = 10^{5}\ cm$, then $0.000593\ km=0.000593\times10^{5}\ cm = 59.3\ cm$.
Step10: Solve problem 31
Since $1\ kV = 10^{3}\ V$, then $3.20\times10^{4}\ V=\frac{3.20\times10^{4}}{10^{3}}\ kV=32.0\ kV$.
Answer:
- $594\ W$
- $6500\ k\Omega$
- $45.3\ \mu A$
- $5.67\ MV$
- $0.670\ nF$
- $56.0\ \mu s$
- $56.0\ cm$
- $59.3\ cm$
- $32.0\ kV$