All the lawsuits - filed in U.S. District Courts in California, New York and Illinois - seek class-action to represent potentially millions of iPhone owners nationwide.
A similar case was lodged in an Israeli court on Monday, the newspaper Haaretz reported.
Apple did not respond to an email seeking comment on the filings.
The company acknowledged last week for the first time in detail that operating system updates released since “last year” for the iPhone 6, iPhone 6s, iPhone SE and iPhone 7 included a feature “to smooth out” power supply from batteries that are cold, old or low on charge.
Phones without the adjustment would shut down abruptly because of a precaution designed to prevent components from getting fried, Apple said.
The disclosure followed a Dec. 18 analysis by Primate Labs, which develops an iPhone performance measuring app, that identified blips in processing speed and concluded that a software change had to be behind them.
One of the lawsuits, filed Thursday in San Francisco, said that “the batteries’ inability to handle the demand created by processor speeds” without the software patch was a defect.
“Rather than curing the battery defect by providing a free battery replacement for all affected iPhones, Apple sought to mask the battery defect,” according to the complaint.
The plaintiff in that case is represented by attorney Jeffrey Fazio, who represented plaintiffs in a $53-million settlement with Apple in 2013 over its handling of iPhone warranty claims.
The problem now seen is that users over the last year could have blamed an aging computer processor for app crashes and sluggish performance - and chose to buy a new phone - when the true cause may have been a weak battery that could have been replaced for a fraction of the cost, some of the lawsuits state.
“If it turns out that consumers would have replaced their battery instead of buying new iPhones had they known the true nature of Apple’s upgrades, you might start to have a better case for some sort of misrepresentation or fraud,” said Rory Van Loo, a Boston University professor specializing in consumer technology law.
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