Circuit Analysis - Source Transformation

• Engineering

Homework Statement

Find Vx using source transformation

V=IR
KVL

The Attempt at a Solution

After doing source transformation on the three pairs of current sources and resistors...

KVL:
-6+2I-Vx+4I-3+3I+5I-2=0
14I-Vx-11=0
14I-5I-11=0
1I=11
I=1.222 A

Vx=-5I=-5(1.222)
Vx=-6.11 V

Did I do the source transformation right? Also, I'm confused with the value of Vx. Is it -5I or just 5I? Because in our class, our convention is that when a current source is transformed into a voltage source, the part where the arrow head in the current source becomes the positive terminal for the voltage source. But since we're only dealing with a resistor here, I just followed our convention for the KVL (the voltage across 5 ohms is positive since the mesh current enters the positive terminal)

Attachments

• 10.7 KB Views: 468
• 12 KB Views: 506
Last edited:
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.physicsforums.com/threads/circuit-analysis-source-transformation.553529/", "fetch_time": 1585418013000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2020-16/segments/1585370492125.18/warc/CC-MAIN-20200328164156-20200328194156-00470.warc.gz", "warc_record_offset": 1115436879, "warc_record_length": 16794, "token_count": 261, "char_count": 908, "score": 3.640625, "int_score": 4, "crawl": "CC-MAIN-2020-16", "snapshot_type": "longest", "language": "en", "language_score": 0.8161661028862, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00007-of-00064.parquet"}