{"id":3639,"date":"2009-06-02T04:59:00","date_gmt":"2009-06-01T18:59:00","guid":{"rendered":"https:\/\/www.homebrewradio.us\/blog\/2009\/06\/02\/class-c-amps-and-the-load-and-power-out-formulas\/"},"modified":"2025-07-21T15:49:17","modified_gmt":"2025-07-21T05:49:17","slug":"class-c-amps-and-the-load-and-power-out-formulas","status":"publish","type":"post","link":"https:\/\/www.homebrewradio.us\/blog\/2009\/06\/02\/class-c-amps-and-the-load-and-power-out-formulas\/","title":{"rendered":"Class C Amps and the Load and Power Out Formulas"},"content":{"rendered":"<p><a onblur=\"try {parent.deselectBloggerImageGracefully();} catch(e) {}\" href=\"https:\/\/blogger.googleusercontent.com\/img\/b\/R29vZ2xl\/AVvXsEgLCBRLRkmx3r9o8hAcb3ru7CD7RHovjjMLgh3edAO4dHqMoG3c7qdItCiFCzhzyKA4bBFr1UQKG9E6djtNU2m1JKvK7KVkz9luVYcyRRdlnrmoBbCKiZ9A_UpeYRovVF_1-jyBMa7Mncc\/s1600-h\/Class+C+Inductor+Action+2.jpg\"><img decoding=\"async\" style=\"margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 375px;\" src=\"https:\/\/www.homebrewradio.us\/blog\/wp-content\/uploads\/2009\/06\/ClassCInductorAction2.jpg\" alt=\"\" id=\"BLOGGER_PHOTO_ID_5342593085856542866\" border=\"0\" \/><\/a>While up in Rotterdam I started thinking about Class C Amps and the standard formula used to calculate power out and load resistance: <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_0\">Rl<\/span>=(<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_1\">Vcc<\/span>&#8211;<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_2\">Ve<\/span>)^2\/2Po. I understand why this formula works for Class A amps: The <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_3\">Vcc<\/span>&#8211;<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_4\">Ve<\/span> term describes the maximum voltage you can get at the output. The rest of the formula is just a version of P=IE and P=E^2\/R. The 2 in the denominator <span class=\"blsp-spelling-corrected\" id=\"SPELLING_ERROR_5\">converts<\/span> peak to average. The books tell us that this same formula applies to Class C amps. How could that be? I wondered. Doesn&#8217;t the output of a Class C amp look (<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_6\">pre<\/span>-filter) like a series of pulses at the operating freq? Wouldn&#8217;t that require a somewhat different formula?<br \/>The answer came from <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_7\">SSDRA<\/span> and <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_8\">LTSpice<\/span>. <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_9\">SSDRA<\/span> page 25 explains<span style=\"font-weight: bold;\"> &#8220;<\/span><span style=\"font-style: italic; font-weight: bold;\">If we assume that the collector voltage varies from zero to twice the <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_10\">Vcc<\/span> level <\/span>while delivering the desired output power, the load needed at the collector is given by the familiar relation <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_11\">Rl<\/span>=<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_12\">Vcc<\/span>^2\/2Po.&#8221; (Emphasis added.) The voltage at the collector is being pulled down nearly to zero as the voltage at the base goes positive and the transistor conducts. You can see this in the waveform in the <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_13\">LTSpice<\/span> screenshot above. Then, when the input voltage dips below about .6 volts, the transistor goes into cutoff and stops conducting. At this point the energy stored in the inductor in collector circuit is dumped onto the collector, raising the voltage there to about twice <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_14\">Vcc<\/span>. That the ugly spike you see at the top. Wow, you can really see from this the need for output filtering.<br \/>As I was exploring this issue, I cam across an old <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_15\">LTSpice<\/span> <span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_16\">VideoCast<\/span> from December 2006. See below.<br \/>BTW: These are the kinds of questions explored in the book &#8220;<span class=\"blsp-spelling-error\" id=\"SPELLING_ERROR_17\">SolderSmoke<\/span> &#8212; A Global Adventure in Radio Electronics.&#8221; I&#8217;m hearing that delivery is very fast, especially in the UK.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>While up in Rotterdam I started thinking about Class C Amps and the standard formula used to calculate power out and load resistance: Rl=(Vcc&#8211;Ve)^2\/2Po. I understand why this formula works for Class A amps: The Vcc&#8211;Ve term describes the maximum voltage you can get at the output. The rest of the formula is just a &hellip; <a href=\"https:\/\/www.homebrewradio.us\/blog\/2009\/06\/02\/class-c-amps-and-the-load-and-power-out-formulas\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Class C Amps and the Load and Power Out Formulas&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84,107,77],"tags":[],"class_list":["post-3639","post","type-post","status-publish","format-standard","hentry","category-amplifier-theory","category-ltspice","category-ssdra"],"_links":{"self":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/3639","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/comments?post=3639"}],"version-history":[{"count":1,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/3639\/revisions"}],"predecessor-version":[{"id":3641,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/3639\/revisions\/3641"}],"wp:attachment":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/media?parent=3639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/categories?post=3639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/tags?post=3639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}